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Finding the Fourth Proportional to 12,546.58, 17,314.85 and 7,509.85

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Solution

The fourth proportional to 12,546.58, 17,314.85 and 7,509.85 is: 10,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.58 : 17,314.85 = 7,509.85 : x
  2. Step 2: Convert to fraction form
    12,546.58/17,314.85 = 7,509.85/x
  3. Step 3: Cross multiply
    12,546.58x = 17,314.85 × 7,509.85
  4. Step 4: Simplify right side
    12,546.58x = 130,031,926.27
  5. Step 5: Solve for x
    x = 130,031,926.27/12,546.58
  6. Step 6: Final answer
    x = 10,363.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.