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Finding the Fourth Proportional to 24,064.76, 36,097.86 and 7,423.40

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Solution

The fourth proportional to 24,064.76, 36,097.86 and 7,423.40 is: 11,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,064.76 : 36,097.86 = 7,423.40 : x
  2. Step 2: Convert to fraction form
    24,064.76/36,097.86 = 7,423.40/x
  3. Step 3: Cross multiply
    24,064.76x = 36,097.86 × 7,423.40
  4. Step 4: Simplify right side
    24,064.76x = 267,968,853.92
  5. Step 5: Solve for x
    x = 267,968,853.92/24,064.76
  6. Step 6: Final answer
    x = 11,135.32

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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.