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Finding the Fourth Proportional to 12,569.27, 17,346.06 and 7,532.46

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Solution

The fourth proportional to 12,569.27, 17,346.06 and 7,532.46 is: 10,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.27 : 17,346.06 = 7,532.46 : x
  2. Step 2: Convert to fraction form
    12,569.27/17,346.06 = 7,532.46/x
  3. Step 3: Cross multiply
    12,569.27x = 17,346.06 × 7,532.46
  4. Step 4: Simplify right side
    12,569.27x = 130,658,503.11
  5. Step 5: Solve for x
    x = 130,658,503.11/12,569.27
  6. Step 6: Final answer
    x = 10,395.08

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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.