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Finding the Fourth Proportional to 7,654.11, 11,465.58 and 7,016.24

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Solution

The fourth proportional to 7,654.11, 11,465.58 and 7,016.24 is: 10,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.11 : 11,465.58 = 7,016.24 : x
  2. Step 2: Convert to fraction form
    7,654.11/11,465.58 = 7,016.24/x
  3. Step 3: Cross multiply
    7,654.11x = 11,465.58 × 7,016.24
  4. Step 4: Simplify right side
    7,654.11x = 80,445,203.69
  5. Step 5: Solve for x
    x = 80,445,203.69/7,654.11
  6. Step 6: Final answer
    x = 10,510.07

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.