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Finding the Fourth Proportional to 10,592.60, 15,950.86 and 7,838.71

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Solution

The fourth proportional to 10,592.60, 15,950.86 and 7,838.71 is: 11,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.60 : 15,950.86 = 7,838.71 : x
  2. Step 2: Convert to fraction form
    10,592.60/15,950.86 = 7,838.71/x
  3. Step 3: Cross multiply
    10,592.60x = 15,950.86 × 7,838.71
  4. Step 4: Simplify right side
    10,592.60x = 125,034,106.32
  5. Step 5: Solve for x
    x = 125,034,106.32/10,592.60
  6. Step 6: Final answer
    x = 11,803.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.