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Finding the Fourth Proportional to 14,471.90, 19,970.52 and 8,184.14

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Solution

The fourth proportional to 14,471.90, 19,970.52 and 8,184.14 is: 11,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.90 : 19,970.52 = 8,184.14 : x
  2. Step 2: Convert to fraction form
    14,471.90/19,970.52 = 8,184.14/x
  3. Step 3: Cross multiply
    14,471.90x = 19,970.52 × 8,184.14
  4. Step 4: Simplify right side
    14,471.90x = 163,441,531.55
  5. Step 5: Solve for x
    x = 163,441,531.55/14,471.90
  6. Step 6: Final answer
    x = 11,293.72

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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.