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Finding the Fourth Proportional to 7,065.87, 10,598.72 and 1,729.10

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Solution

The fourth proportional to 7,065.87, 10,598.72 and 1,729.10 is: 2,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.87 : 10,598.72 = 1,729.10 : x
  2. Step 2: Convert to fraction form
    7,065.87/10,598.72 = 1,729.10/x
  3. Step 3: Cross multiply
    7,065.87x = 10,598.72 × 1,729.10
  4. Step 4: Simplify right side
    7,065.87x = 18,326,204.99
  5. Step 5: Solve for x
    x = 18,326,204.99/7,065.87
  6. Step 6: Final answer
    x = 2,593.62

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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.