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Finding the Fourth Proportional to 10,473.83, 15,710.78 and 9,948.27

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Solution

The fourth proportional to 10,473.83, 15,710.78 and 9,948.27 is: 14,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.83 : 15,710.78 = 9,948.27 : x
  2. Step 2: Convert to fraction form
    10,473.83/15,710.78 = 9,948.27/x
  3. Step 3: Cross multiply
    10,473.83x = 15,710.78 × 9,948.27
  4. Step 4: Simplify right side
    10,473.83x = 156,295,081.35
  5. Step 5: Solve for x
    x = 156,295,081.35/10,473.83
  6. Step 6: Final answer
    x = 14,922.44

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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.