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Finding the Fourth Proportional to 10,508.14, 14,507.04 and 7,672.66

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Solution

The fourth proportional to 10,508.14, 14,507.04 and 7,672.66 is: 10,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.14 : 14,507.04 = 7,672.66 : x
  2. Step 2: Convert to fraction form
    10,508.14/14,507.04 = 7,672.66/x
  3. Step 3: Cross multiply
    10,508.14x = 14,507.04 × 7,672.66
  4. Step 4: Simplify right side
    10,508.14x = 111,307,585.53
  5. Step 5: Solve for x
    x = 111,307,585.53/10,508.14
  6. Step 6: Final answer
    x = 10,592.51

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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.