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Finding the Fourth Proportional to 9,129.64, 12,597.06 and 5,773.48

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Solution

The fourth proportional to 9,129.64, 12,597.06 and 5,773.48 is: 7,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.64 : 12,597.06 = 5,773.48 : x
  2. Step 2: Convert to fraction form
    9,129.64/12,597.06 = 5,773.48/x
  3. Step 3: Cross multiply
    9,129.64x = 12,597.06 × 5,773.48
  4. Step 4: Simplify right side
    9,129.64x = 72,728,873.97
  5. Step 5: Solve for x
    x = 72,728,873.97/9,129.64
  6. Step 6: Final answer
    x = 7,966.24

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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.