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Finding the Fourth Proportional to 15,582.80, 23,375.42 and 7,689.55

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Solution

The fourth proportional to 15,582.80, 23,375.42 and 7,689.55 is: 11,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.80 : 23,375.42 = 7,689.55 : x
  2. Step 2: Convert to fraction form
    15,582.80/23,375.42 = 7,689.55/x
  3. Step 3: Cross multiply
    15,582.80x = 23,375.42 × 7,689.55
  4. Step 4: Simplify right side
    15,582.80x = 179,746,460.86
  5. Step 5: Solve for x
    x = 179,746,460.86/15,582.80
  6. Step 6: Final answer
    x = 11,534.93

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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.