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Finding the Fourth Proportional to 11,059.31, 15,264.03 and 6,582.17

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Solution

The fourth proportional to 11,059.31, 15,264.03 and 6,582.17 is: 9,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.31 : 15,264.03 = 6,582.17 : x
  2. Step 2: Convert to fraction form
    11,059.31/15,264.03 = 6,582.17/x
  3. Step 3: Cross multiply
    11,059.31x = 15,264.03 × 6,582.17
  4. Step 4: Simplify right side
    11,059.31x = 100,470,364.02
  5. Step 5: Solve for x
    x = 100,470,364.02/11,059.31
  6. Step 6: Final answer
    x = 9,084.69

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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.