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Finding the Fourth Proportional to 9,472.52, 14,209.44 and 2,898.20

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Solution

The fourth proportional to 9,472.52, 14,209.44 and 2,898.20 is: 4,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.52 : 14,209.44 = 2,898.20 : x
  2. Step 2: Convert to fraction form
    9,472.52/14,209.44 = 2,898.20/x
  3. Step 3: Cross multiply
    9,472.52x = 14,209.44 × 2,898.20
  4. Step 4: Simplify right side
    9,472.52x = 41,181,799.01
  5. Step 5: Solve for x
    x = 41,181,799.01/9,472.52
  6. Step 6: Final answer
    x = 4,347.50

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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.