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Finding the Fourth Proportional to 10,665.80, 15,985.10 and 5,985.80

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Solution

The fourth proportional to 10,665.80, 15,985.10 and 5,985.80 is: 8,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.80 : 15,985.10 = 5,985.80 : x
  2. Step 2: Convert to fraction form
    10,665.80/15,985.10 = 5,985.80/x
  3. Step 3: Cross multiply
    10,665.80x = 15,985.10 × 5,985.80
  4. Step 4: Simplify right side
    10,665.80x = 95,683,611.58
  5. Step 5: Solve for x
    x = 95,683,611.58/10,665.80
  6. Step 6: Final answer
    x = 8,971.07

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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.