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Finding the Fourth Proportional to 24,827.92, 37,242.18 and 7,298.10

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Solution

The fourth proportional to 24,827.92, 37,242.18 and 7,298.10 is: 10,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.92 : 37,242.18 = 7,298.10 : x
  2. Step 2: Convert to fraction form
    24,827.92/37,242.18 = 7,298.10/x
  3. Step 3: Cross multiply
    24,827.92x = 37,242.18 × 7,298.10
  4. Step 4: Simplify right side
    24,827.92x = 271,797,153.86
  5. Step 5: Solve for x
    x = 271,797,153.86/24,827.92
  6. Step 6: Final answer
    x = 10,947.24

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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.