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Finding the Fourth Proportional to 9,416.68, 12,995.02 and 5,224.92

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Solution

The fourth proportional to 9,416.68, 12,995.02 and 5,224.92 is: 7,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.68 : 12,995.02 = 5,224.92 : x
  2. Step 2: Convert to fraction form
    9,416.68/12,995.02 = 5,224.92/x
  3. Step 3: Cross multiply
    9,416.68x = 12,995.02 × 5,224.92
  4. Step 4: Simplify right side
    9,416.68x = 67,897,939.90
  5. Step 5: Solve for x
    x = 67,897,939.90/9,416.68
  6. Step 6: Final answer
    x = 7,210.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.