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Finding the Fourth Proportional to 22,275.84, 33,417 and 6,691.44

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Solution

The fourth proportional to 22,275.84, 33,417 and 6,691.44 is: 10,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.84 : 33,417 = 6,691.44 : x
  2. Step 2: Convert to fraction form
    22,275.84/33,417 = 6,691.44/x
  3. Step 3: Cross multiply
    22,275.84x = 33,417 × 6,691.44
  4. Step 4: Simplify right side
    22,275.84x = 223,607,850.48
  5. Step 5: Solve for x
    x = 223,607,850.48/22,275.84
  6. Step 6: Final answer
    x = 10,038.13

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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.