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Finding the Fourth Proportional to 22,547.77, 33,824.72 and 9,397.06

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Solution

The fourth proportional to 22,547.77, 33,824.72 and 9,397.06 is: 14,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.77 : 33,824.72 = 9,397.06 : x
  2. Step 2: Convert to fraction form
    22,547.77/33,824.72 = 9,397.06/x
  3. Step 3: Cross multiply
    22,547.77x = 33,824.72 × 9,397.06
  4. Step 4: Simplify right side
    22,547.77x = 317,853,052.52
  5. Step 5: Solve for x
    x = 317,853,052.52/22,547.77
  6. Step 6: Final answer
    x = 14,096.87

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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.