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Finding the Fourth Proportional to 4,473.59, 6,711.30 and 1,699.74

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Solution

The fourth proportional to 4,473.59, 6,711.30 and 1,699.74 is: 2,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.59 : 6,711.30 = 1,699.74 : x
  2. Step 2: Convert to fraction form
    4,473.59/6,711.30 = 1,699.74/x
  3. Step 3: Cross multiply
    4,473.59x = 6,711.30 × 1,699.74
  4. Step 4: Simplify right side
    4,473.59x = 11,407,465.06
  5. Step 5: Solve for x
    x = 11,407,465.06/4,473.59
  6. Step 6: Final answer
    x = 2,549.96

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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.