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Finding the Fourth Proportional to 19,683.60, 29,509.80 and 9,817.80

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Solution

The fourth proportional to 19,683.60, 29,509.80 and 9,817.80 is: 14,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.60 : 29,509.80 = 9,817.80 : x
  2. Step 2: Convert to fraction form
    19,683.60/29,509.80 = 9,817.80/x
  3. Step 3: Cross multiply
    19,683.60x = 29,509.80 × 9,817.80
  4. Step 4: Simplify right side
    19,683.60x = 289,721,314.44
  5. Step 5: Solve for x
    x = 289,721,314.44/19,683.60
  6. Step 6: Final answer
    x = 14,718.92

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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.