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Finding the Fourth Proportional to 9,532.90, 13,160.06 and 6,348.08

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Solution

The fourth proportional to 9,532.90, 13,160.06 and 6,348.08 is: 8,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.90 : 13,160.06 = 6,348.08 : x
  2. Step 2: Convert to fraction form
    9,532.90/13,160.06 = 6,348.08/x
  3. Step 3: Cross multiply
    9,532.90x = 13,160.06 × 6,348.08
  4. Step 4: Simplify right side
    9,532.90x = 83,541,113.68
  5. Step 5: Solve for x
    x = 83,541,113.68/9,532.90
  6. Step 6: Final answer
    x = 8,763.45

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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.