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Finding the Fourth Proportional to 7,657.92, 11,421.12 and 7,526.70

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Solution

The fourth proportional to 7,657.92, 11,421.12 and 7,526.70 is: 11,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.92 : 11,421.12 = 7,526.70 : x
  2. Step 2: Convert to fraction form
    7,657.92/11,421.12 = 7,526.70/x
  3. Step 3: Cross multiply
    7,657.92x = 11,421.12 × 7,526.70
  4. Step 4: Simplify right side
    7,657.92x = 85,963,343.90
  5. Step 5: Solve for x
    x = 85,963,343.90/7,657.92
  6. Step 6: Final answer
    x = 11,225.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.