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Finding the Fourth Proportional to 9,344.84, 12,895.34 and 5,572.28

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Solution

The fourth proportional to 9,344.84, 12,895.34 and 5,572.28 is: 7,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.84 : 12,895.34 = 5,572.28 : x
  2. Step 2: Convert to fraction form
    9,344.84/12,895.34 = 5,572.28/x
  3. Step 3: Cross multiply
    9,344.84x = 12,895.34 × 5,572.28
  4. Step 4: Simplify right side
    9,344.84x = 71,856,445.18
  5. Step 5: Solve for x
    x = 71,856,445.18/9,344.84
  6. Step 6: Final answer
    x = 7,689.42

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Half scale
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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.