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Finding the Fourth Proportional to 12,314.58, 18,468.03 and 3,547.14

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Solution

The fourth proportional to 12,314.58, 18,468.03 and 3,547.14 is: 5,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.58 : 18,468.03 = 3,547.14 : x
  2. Step 2: Convert to fraction form
    12,314.58/18,468.03 = 3,547.14/x
  3. Step 3: Cross multiply
    12,314.58x = 18,468.03 × 3,547.14
  4. Step 4: Simplify right side
    12,314.58x = 65,508,687.93
  5. Step 5: Solve for x
    x = 65,508,687.93/12,314.58
  6. Step 6: Final answer
    x = 5,319.60

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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.