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Finding the Fourth Proportional to 7,000.42, 9,660.96 and 4,016.23

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Solution

The fourth proportional to 7,000.42, 9,660.96 and 4,016.23 is: 5,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.42 : 9,660.96 = 4,016.23 : x
  2. Step 2: Convert to fraction form
    7,000.42/9,660.96 = 4,016.23/x
  3. Step 3: Cross multiply
    7,000.42x = 9,660.96 × 4,016.23
  4. Step 4: Simplify right side
    7,000.42x = 38,800,637.38
  5. Step 5: Solve for x
    x = 38,800,637.38/7,000.42
  6. Step 6: Final answer
    x = 5,542.62

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Half scale
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Double scale
Find fourth proportional to 7,001.42, 9,662.34 and 4,017.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.