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Finding the Fourth Proportional to 14,701.29, 20,280.02 and 9,314.22

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Solution

The fourth proportional to 14,701.29, 20,280.02 and 9,314.22 is: 12,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.29 : 20,280.02 = 9,314.22 : x
  2. Step 2: Convert to fraction form
    14,701.29/20,280.02 = 9,314.22/x
  3. Step 3: Cross multiply
    14,701.29x = 20,280.02 × 9,314.22
  4. Step 4: Simplify right side
    14,701.29x = 188,892,521.31
  5. Step 5: Solve for x
    x = 188,892,521.31/14,701.29
  6. Step 6: Final answer
    x = 12,848.70

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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.