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Finding the Fourth Proportional to 11,898.52, 17,824.72 and 9,156.76

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Solution

The fourth proportional to 11,898.52, 17,824.72 and 9,156.76 is: 13,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.52 : 17,824.72 = 9,156.76 : x
  2. Step 2: Convert to fraction form
    11,898.52/17,824.72 = 9,156.76/x
  3. Step 3: Cross multiply
    11,898.52x = 17,824.72 × 9,156.76
  4. Step 4: Simplify right side
    11,898.52x = 163,216,683.11
  5. Step 5: Solve for x
    x = 163,216,683.11/11,898.52
  6. Step 6: Final answer
    x = 13,717.39

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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.