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Finding the Fourth Proportional to 11,462.76, 15,825.51 and 7,490.52

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Solution

The fourth proportional to 11,462.76, 15,825.51 and 7,490.52 is: 10,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.76 : 15,825.51 = 7,490.52 : x
  2. Step 2: Convert to fraction form
    11,462.76/15,825.51 = 7,490.52/x
  3. Step 3: Cross multiply
    11,462.76x = 15,825.51 × 7,490.52
  4. Step 4: Simplify right side
    11,462.76x = 118,541,299.17
  5. Step 5: Solve for x
    x = 118,541,299.17/11,462.76
  6. Step 6: Final answer
    x = 10,341.43

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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.