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Finding the Fourth Proportional to 7,564.01, 10,416.65 and 7,539.39

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Solution

The fourth proportional to 7,564.01, 10,416.65 and 7,539.39 is: 10,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.01 : 10,416.65 = 7,539.39 : x
  2. Step 2: Convert to fraction form
    7,564.01/10,416.65 = 7,539.39/x
  3. Step 3: Cross multiply
    7,564.01x = 10,416.65 × 7,539.39
  4. Step 4: Simplify right side
    7,564.01x = 78,535,149.15
  5. Step 5: Solve for x
    x = 78,535,149.15/7,564.01
  6. Step 6: Final answer
    x = 10,382.75

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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.