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Finding the Fourth Proportional to 7,407.92, 10,214.52 and 5,541.68

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Solution

The fourth proportional to 7,407.92, 10,214.52 and 5,541.68 is: 7,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.92 : 10,214.52 = 5,541.68 : x
  2. Step 2: Convert to fraction form
    7,407.92/10,214.52 = 5,541.68/x
  3. Step 3: Cross multiply
    7,407.92x = 10,214.52 × 5,541.68
  4. Step 4: Simplify right side
    7,407.92x = 56,605,601.19
  5. Step 5: Solve for x
    x = 56,605,601.19/7,407.92
  6. Step 6: Final answer
    x = 7,641.23

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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.