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Finding the Fourth Proportional to 6,880.59, 10,320.89 and 1,686.47

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Solution

The fourth proportional to 6,880.59, 10,320.89 and 1,686.47 is: 2,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.59 : 10,320.89 = 1,686.47 : x
  2. Step 2: Convert to fraction form
    6,880.59/10,320.89 = 1,686.47/x
  3. Step 3: Cross multiply
    6,880.59x = 10,320.89 × 1,686.47
  4. Step 4: Simplify right side
    6,880.59x = 17,405,811.32
  5. Step 5: Solve for x
    x = 17,405,811.32/6,880.59
  6. Step 6: Final answer
    x = 2,529.70

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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.