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Finding the Fourth Proportional to 9,151.92, 13,810.32 and 8,826.48

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Solution

The fourth proportional to 9,151.92, 13,810.32 and 8,826.48 is: 13,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.92 : 13,810.32 = 8,826.48 : x
  2. Step 2: Convert to fraction form
    9,151.92/13,810.32 = 8,826.48/x
  3. Step 3: Cross multiply
    9,151.92x = 13,810.32 × 8,826.48
  4. Step 4: Simplify right side
    9,151.92x = 121,896,513.27
  5. Step 5: Solve for x
    x = 121,896,513.27/9,151.92
  6. Step 6: Final answer
    x = 13,319.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.