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Finding the Fourth Proportional to 7,000.40, 9,662.47 and 4,016.51

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Solution

The fourth proportional to 7,000.40, 9,662.47 and 4,016.51 is: 5,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.40 : 9,662.47 = 4,016.51 : x
  2. Step 2: Convert to fraction form
    7,000.40/9,662.47 = 4,016.51/x
  3. Step 3: Cross multiply
    7,000.40x = 9,662.47 × 4,016.51
  4. Step 4: Simplify right side
    7,000.40x = 38,809,407.38
  5. Step 5: Solve for x
    x = 38,809,407.38/7,000.40
  6. Step 6: Final answer
    x = 5,543.88

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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.