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Finding the Fourth Proportional to 12,574.84, 17,352.54 and 7,269.28

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Solution

The fourth proportional to 12,574.84, 17,352.54 and 7,269.28 is: 10,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.84 : 17,352.54 = 7,269.28 : x
  2. Step 2: Convert to fraction form
    12,574.84/17,352.54 = 7,269.28/x
  3. Step 3: Cross multiply
    12,574.84x = 17,352.54 × 7,269.28
  4. Step 4: Simplify right side
    12,574.84x = 126,140,471.97
  5. Step 5: Solve for x
    x = 126,140,471.97/12,574.84
  6. Step 6: Final answer
    x = 10,031.18

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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.