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Finding the Fourth Proportional to 11,552.16, 15,942 and 6,584.16

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Solution

The fourth proportional to 11,552.16, 15,942 and 6,584.16 is: 9,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.16 : 15,942 = 6,584.16 : x
  2. Step 2: Convert to fraction form
    11,552.16/15,942 = 6,584.16/x
  3. Step 3: Cross multiply
    11,552.16x = 15,942 × 6,584.16
  4. Step 4: Simplify right side
    11,552.16x = 104,964,678.72
  5. Step 5: Solve for x
    x = 104,964,678.72/11,552.16
  6. Step 6: Final answer
    x = 9,086.15

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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.