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Finding the Fourth Proportional to 9,151.64, 12,629.30 and 4,959.88

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Solution

The fourth proportional to 9,151.64, 12,629.30 and 4,959.88 is: 6,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.64 : 12,629.30 = 4,959.88 : x
  2. Step 2: Convert to fraction form
    9,151.64/12,629.30 = 4,959.88/x
  3. Step 3: Cross multiply
    9,151.64x = 12,629.30 × 4,959.88
  4. Step 4: Simplify right side
    9,151.64x = 62,639,812.48
  5. Step 5: Solve for x
    x = 62,639,812.48/9,151.64
  6. Step 6: Final answer
    x = 6,844.65

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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.