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Finding the Fourth Proportional to 10,337.40, 15,506.10 and 7,858.80

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Solution

The fourth proportional to 10,337.40, 15,506.10 and 7,858.80 is: 11,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.40 : 15,506.10 = 7,858.80 : x
  2. Step 2: Convert to fraction form
    10,337.40/15,506.10 = 7,858.80/x
  3. Step 3: Cross multiply
    10,337.40x = 15,506.10 × 7,858.80
  4. Step 4: Simplify right side
    10,337.40x = 121,859,338.68
  5. Step 5: Solve for x
    x = 121,859,338.68/10,337.40
  6. Step 6: Final answer
    x = 11,788.20

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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.