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Finding the Fourth Proportional to 19,683.20, 29,524.80 and 9,841.70

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Solution

The fourth proportional to 19,683.20, 29,524.80 and 9,841.70 is: 14,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.20 : 29,524.80 = 9,841.70 : x
  2. Step 2: Convert to fraction form
    19,683.20/29,524.80 = 9,841.70/x
  3. Step 3: Cross multiply
    19,683.20x = 29,524.80 × 9,841.70
  4. Step 4: Simplify right side
    19,683.20x = 290,574,224.16
  5. Step 5: Solve for x
    x = 290,574,224.16/19,683.20
  6. Step 6: Final answer
    x = 14,762.55

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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.