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Finding the Fourth Proportional to 14,681.25, 22,025.12 and 5,447.25

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Solution

The fourth proportional to 14,681.25, 22,025.12 and 5,447.25 is: 8,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.25 : 22,025.12 = 5,447.25 : x
  2. Step 2: Convert to fraction form
    14,681.25/22,025.12 = 5,447.25/x
  3. Step 3: Cross multiply
    14,681.25x = 22,025.12 × 5,447.25
  4. Step 4: Simplify right side
    14,681.25x = 119,976,307.68
  5. Step 5: Solve for x
    x = 119,976,307.68/14,681.25
  6. Step 6: Final answer
    x = 8,172.08

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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.