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Finding the Fourth Proportional to 9,063.68, 12,511 and 5,712.14

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Solution

The fourth proportional to 9,063.68, 12,511 and 5,712.14 is: 7,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,063.68 : 12,511 = 5,712.14 : x
  2. Step 2: Convert to fraction form
    9,063.68/12,511 = 5,712.14/x
  3. Step 3: Cross multiply
    9,063.68x = 12,511 × 5,712.14
  4. Step 4: Simplify right side
    9,063.68x = 71,464,583.54
  5. Step 5: Solve for x
    x = 71,464,583.54/9,063.68
  6. Step 6: Final answer
    x = 7,884.72

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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.