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Finding the Fourth Proportional to 11,292.56, 15,581.64 and 6,324.56

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Solution

The fourth proportional to 11,292.56, 15,581.64 and 6,324.56 is: 8,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.56 : 15,581.64 = 6,324.56 : x
  2. Step 2: Convert to fraction form
    11,292.56/15,581.64 = 6,324.56/x
  3. Step 3: Cross multiply
    11,292.56x = 15,581.64 × 6,324.56
  4. Step 4: Simplify right side
    11,292.56x = 98,547,017.08
  5. Step 5: Solve for x
    x = 98,547,017.08/11,292.56
  6. Step 6: Final answer
    x = 8,726.72

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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.