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Finding the Fourth Proportional to 12,574.41, 17,353.16 and 7,539.45

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Solution

The fourth proportional to 12,574.41, 17,353.16 and 7,539.45 is: 10,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.41 : 17,353.16 = 7,539.45 : x
  2. Step 2: Convert to fraction form
    12,574.41/17,353.16 = 7,539.45/x
  3. Step 3: Cross multiply
    12,574.41x = 17,353.16 × 7,539.45
  4. Step 4: Simplify right side
    12,574.41x = 130,833,244.46
  5. Step 5: Solve for x
    x = 130,833,244.46/12,574.41
  6. Step 6: Final answer
    x = 10,404.72

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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.