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Finding the Fourth Proportional to 9,763.47, 14,616.41 and 6,053.76

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Solution

The fourth proportional to 9,763.47, 14,616.41 and 6,053.76 is: 9,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.47 : 14,616.41 = 6,053.76 : x
  2. Step 2: Convert to fraction form
    9,763.47/14,616.41 = 6,053.76/x
  3. Step 3: Cross multiply
    9,763.47x = 14,616.41 × 6,053.76
  4. Step 4: Simplify right side
    9,763.47x = 88,484,207.93
  5. Step 5: Solve for x
    x = 88,484,207.93/9,763.47
  6. Step 6: Final answer
    x = 9,062.78

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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.