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Finding the Fourth Proportional to 12,046.70, 18,075.18 and 6,498.74

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Solution

The fourth proportional to 12,046.70, 18,075.18 and 6,498.74 is: 9,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.70 : 18,075.18 = 6,498.74 : x
  2. Step 2: Convert to fraction form
    12,046.70/18,075.18 = 6,498.74/x
  3. Step 3: Cross multiply
    12,046.70x = 18,075.18 × 6,498.74
  4. Step 4: Simplify right side
    12,046.70x = 117,465,895.27
  5. Step 5: Solve for x
    x = 117,465,895.27/12,046.70
  6. Step 6: Final answer
    x = 9,750.88

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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.