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Finding the Fourth Proportional to 11,369.97, 15,657.91 and 9,763.74

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Solution

The fourth proportional to 11,369.97, 15,657.91 and 9,763.74 is: 13,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.97 : 15,657.91 = 9,763.74 : x
  2. Step 2: Convert to fraction form
    11,369.97/15,657.91 = 9,763.74/x
  3. Step 3: Cross multiply
    11,369.97x = 15,657.91 × 9,763.74
  4. Step 4: Simplify right side
    11,369.97x = 152,879,737.77
  5. Step 5: Solve for x
    x = 152,879,737.77/11,369.97
  6. Step 6: Final answer
    x = 13,445.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.