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Finding the Fourth Proportional to 6,569.76, 9,066.48 and 3,775.20

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Solution

The fourth proportional to 6,569.76, 9,066.48 and 3,775.20 is: 5,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.76 : 9,066.48 = 3,775.20 : x
  2. Step 2: Convert to fraction form
    6,569.76/9,066.48 = 3,775.20/x
  3. Step 3: Cross multiply
    6,569.76x = 9,066.48 × 3,775.20
  4. Step 4: Simplify right side
    6,569.76x = 34,227,775.30
  5. Step 5: Solve for x
    x = 34,227,775.30/6,569.76
  6. Step 6: Final answer
    x = 5,209.90

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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.