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Finding the Fourth Proportional to 7,566.65, 11,358.14 and 6,402.07

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Solution

The fourth proportional to 7,566.65, 11,358.14 and 6,402.07 is: 9,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.65 : 11,358.14 = 6,402.07 : x
  2. Step 2: Convert to fraction form
    7,566.65/11,358.14 = 6,402.07/x
  3. Step 3: Cross multiply
    7,566.65x = 11,358.14 × 6,402.07
  4. Step 4: Simplify right side
    7,566.65x = 72,715,607.35
  5. Step 5: Solve for x
    x = 72,715,607.35/7,566.65
  6. Step 6: Final answer
    x = 9,610.01

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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.