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Finding the Fourth Proportional to 10,510.96, 15,766.44 and 9,985.40

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Solution

The fourth proportional to 10,510.96, 15,766.44 and 9,985.40 is: 14,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.96 : 15,766.44 = 9,985.40 : x
  2. Step 2: Convert to fraction form
    10,510.96/15,766.44 = 9,985.40/x
  3. Step 3: Cross multiply
    10,510.96x = 15,766.44 × 9,985.40
  4. Step 4: Simplify right side
    10,510.96x = 157,434,209.98
  5. Step 5: Solve for x
    x = 157,434,209.98/10,510.96
  6. Step 6: Final answer
    x = 14,978.10

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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.