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Finding the Fourth Proportional to 10,954.80, 16,394.40 and 6,575.40

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Solution

The fourth proportional to 10,954.80, 16,394.40 and 6,575.40 is: 9,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.80 : 16,394.40 = 6,575.40 : x
  2. Step 2: Convert to fraction form
    10,954.80/16,394.40 = 6,575.40/x
  3. Step 3: Cross multiply
    10,954.80x = 16,394.40 × 6,575.40
  4. Step 4: Simplify right side
    10,954.80x = 107,799,737.76
  5. Step 5: Solve for x
    x = 107,799,737.76/10,954.80
  6. Step 6: Final answer
    x = 9,840.41

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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.