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Finding the Fourth Proportional to 10,987.80, 16,567.90 and 10,069.26

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Solution

The fourth proportional to 10,987.80, 16,567.90 and 10,069.26 is: 15,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.80 : 16,567.90 = 10,069.26 : x
  2. Step 2: Convert to fraction form
    10,987.80/16,567.90 = 10,069.26/x
  3. Step 3: Cross multiply
    10,987.80x = 16,567.90 × 10,069.26
  4. Step 4: Simplify right side
    10,987.80x = 166,826,492.75
  5. Step 5: Solve for x
    x = 166,826,492.75/10,987.80
  6. Step 6: Final answer
    x = 15,182.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.