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Finding the Fourth Proportional to 9,095.76, 13,635.12 and 8,284.16

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Solution

The fourth proportional to 9,095.76, 13,635.12 and 8,284.16 is: 12,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.76 : 13,635.12 = 8,284.16 : x
  2. Step 2: Convert to fraction form
    9,095.76/13,635.12 = 8,284.16/x
  3. Step 3: Cross multiply
    9,095.76x = 13,635.12 × 8,284.16
  4. Step 4: Simplify right side
    9,095.76x = 112,955,515.70
  5. Step 5: Solve for x
    x = 112,955,515.70/9,095.76
  6. Step 6: Final answer
    x = 12,418.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.