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Finding the Fourth Proportional to 24,390.97, 36,582.19 and 6,856.63

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Solution

The fourth proportional to 24,390.97, 36,582.19 and 6,856.63 is: 10,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,390.97 : 36,582.19 = 6,856.63 : x
  2. Step 2: Convert to fraction form
    24,390.97/36,582.19 = 6,856.63/x
  3. Step 3: Cross multiply
    24,390.97x = 36,582.19 × 6,856.63
  4. Step 4: Simplify right side
    24,390.97x = 250,830,541.42
  5. Step 5: Solve for x
    x = 250,830,541.42/24,390.97
  6. Step 6: Final answer
    x = 10,283.75

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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.