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Finding the Fourth Proportional to 10,683.80, 15,987.90 and 9,312.20

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Solution

The fourth proportional to 10,683.80, 15,987.90 and 9,312.20 is: 13,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.80 : 15,987.90 = 9,312.20 : x
  2. Step 2: Convert to fraction form
    10,683.80/15,987.90 = 9,312.20/x
  3. Step 3: Cross multiply
    10,683.80x = 15,987.90 × 9,312.20
  4. Step 4: Simplify right side
    10,683.80x = 148,882,522.38
  5. Step 5: Solve for x
    x = 148,882,522.38/10,683.80
  6. Step 6: Final answer
    x = 13,935.35

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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.