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Finding the Fourth Proportional to 6,694.98, 10,029.48 and 5,152.74

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Solution

The fourth proportional to 6,694.98, 10,029.48 and 5,152.74 is: 7,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.98 : 10,029.48 = 5,152.74 : x
  2. Step 2: Convert to fraction form
    6,694.98/10,029.48 = 5,152.74/x
  3. Step 3: Cross multiply
    6,694.98x = 10,029.48 × 5,152.74
  4. Step 4: Simplify right side
    6,694.98x = 51,679,302.78
  5. Step 5: Solve for x
    x = 51,679,302.78/6,694.98
  6. Step 6: Final answer
    x = 7,719.11

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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.