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Finding the Fourth Proportional to 9,447, 13,037.16 and 5,255.52

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Solution

The fourth proportional to 9,447, 13,037.16 and 5,255.52 is: 7,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447 : 13,037.16 = 5,255.52 : x
  2. Step 2: Convert to fraction form
    9,447/13,037.16 = 5,255.52/x
  3. Step 3: Cross multiply
    9,447x = 13,037.16 × 5,255.52
  4. Step 4: Simplify right side
    9,447x = 68,517,055.12
  5. Step 5: Solve for x
    x = 68,517,055.12/9,447
  6. Step 6: Final answer
    x = 7,252.78

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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.