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Finding the Fourth Proportional to 14,646.80, 21,970.20 and 9,117.20

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Solution

The fourth proportional to 14,646.80, 21,970.20 and 9,117.20 is: 13,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.80 : 21,970.20 = 9,117.20 : x
  2. Step 2: Convert to fraction form
    14,646.80/21,970.20 = 9,117.20/x
  3. Step 3: Cross multiply
    14,646.80x = 21,970.20 × 9,117.20
  4. Step 4: Simplify right side
    14,646.80x = 200,306,707.44
  5. Step 5: Solve for x
    x = 200,306,707.44/14,646.80
  6. Step 6: Final answer
    x = 13,675.80

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Similar ratio
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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.