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Finding the Fourth Proportional to 9,254.35, 12,771 and 5,275.63

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Solution

The fourth proportional to 9,254.35, 12,771 and 5,275.63 is: 7,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.35 : 12,771 = 5,275.63 : x
  2. Step 2: Convert to fraction form
    9,254.35/12,771 = 5,275.63/x
  3. Step 3: Cross multiply
    9,254.35x = 12,771 × 5,275.63
  4. Step 4: Simplify right side
    9,254.35x = 67,375,070.73
  5. Step 5: Solve for x
    x = 67,375,070.73/9,254.35
  6. Step 6: Final answer
    x = 7,280.37

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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.