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Finding the Fourth Proportional to 7,411.92, 10,218.48 and 5,730.24

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Solution

The fourth proportional to 7,411.92, 10,218.48 and 5,730.24 is: 7,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.92 : 10,218.48 = 5,730.24 : x
  2. Step 2: Convert to fraction form
    7,411.92/10,218.48 = 5,730.24/x
  3. Step 3: Cross multiply
    7,411.92x = 10,218.48 × 5,730.24
  4. Step 4: Simplify right side
    7,411.92x = 58,554,342.84
  5. Step 5: Solve for x
    x = 58,554,342.84/7,411.92
  6. Step 6: Final answer
    x = 7,900.02

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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.