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Finding the Fourth Proportional to 9,157.66, 13,726.70 and 6,552.70

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Solution

The fourth proportional to 9,157.66, 13,726.70 and 6,552.70 is: 9,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.66 : 13,726.70 = 6,552.70 : x
  2. Step 2: Convert to fraction form
    9,157.66/13,726.70 = 6,552.70/x
  3. Step 3: Cross multiply
    9,157.66x = 13,726.70 × 6,552.70
  4. Step 4: Simplify right side
    9,157.66x = 89,946,947.09
  5. Step 5: Solve for x
    x = 89,946,947.09/9,157.66
  6. Step 6: Final answer
    x = 9,822.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.