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Finding the Fourth Proportional to 9,248.24, 12,754.32 and 7,232

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Solution

The fourth proportional to 9,248.24, 12,754.32 and 7,232 is: 9,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.24 : 12,754.32 = 7,232 : x
  2. Step 2: Convert to fraction form
    9,248.24/12,754.32 = 7,232/x
  3. Step 3: Cross multiply
    9,248.24x = 12,754.32 × 7,232
  4. Step 4: Simplify right side
    9,248.24x = 92,239,242.24
  5. Step 5: Solve for x
    x = 92,239,242.24/9,248.24
  6. Step 6: Final answer
    x = 9,973.71

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Double scale
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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.