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Finding the Fourth Proportional to 10,488.77, 15,733.15 and 9,448.73

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Solution

The fourth proportional to 10,488.77, 15,733.15 and 9,448.73 is: 14,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.77 : 15,733.15 = 9,448.73 : x
  2. Step 2: Convert to fraction form
    10,488.77/15,733.15 = 9,448.73/x
  3. Step 3: Cross multiply
    10,488.77x = 15,733.15 × 9,448.73
  4. Step 4: Simplify right side
    10,488.77x = 148,658,184.11
  5. Step 5: Solve for x
    x = 148,658,184.11/10,488.77
  6. Step 6: Final answer
    x = 14,173.09

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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.