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Finding the Fourth Proportional to 7,438, 10,264.04 and 4,080.76

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Solution

The fourth proportional to 7,438, 10,264.04 and 4,080.76 is: 5,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438 : 10,264.04 = 4,080.76 : x
  2. Step 2: Convert to fraction form
    7,438/10,264.04 = 4,080.76/x
  3. Step 3: Cross multiply
    7,438x = 10,264.04 × 4,080.76
  4. Step 4: Simplify right side
    7,438x = 41,885,083.87
  5. Step 5: Solve for x
    x = 41,885,083.87/7,438
  6. Step 6: Final answer
    x = 5,631.23

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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.