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Finding the Fourth Proportional to 7,581, 10,462.86 and 7,248.90

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Solution

The fourth proportional to 7,581, 10,462.86 and 7,248.90 is: 10,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581 : 10,462.86 = 7,248.90 : x
  2. Step 2: Convert to fraction form
    7,581/10,462.86 = 7,248.90/x
  3. Step 3: Cross multiply
    7,581x = 10,462.86 × 7,248.90
  4. Step 4: Simplify right side
    7,581x = 75,844,225.85
  5. Step 5: Solve for x
    x = 75,844,225.85/7,581
  6. Step 6: Final answer
    x = 10,004.51

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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.