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Finding the Fourth Proportional to 24,070.84, 36,107 and 6,541.04

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Solution

The fourth proportional to 24,070.84, 36,107 and 6,541.04 is: 9,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,070.84 : 36,107 = 6,541.04 : x
  2. Step 2: Convert to fraction form
    24,070.84/36,107 = 6,541.04/x
  3. Step 3: Cross multiply
    24,070.84x = 36,107 × 6,541.04
  4. Step 4: Simplify right side
    24,070.84x = 236,177,331.28
  5. Step 5: Solve for x
    x = 236,177,331.28/24,070.84
  6. Step 6: Final answer
    x = 9,811.76

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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.