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Finding the Fourth Proportional to 4,473.57, 6,710.51 and 1,187.00

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Solution

The fourth proportional to 4,473.57, 6,710.51 and 1,187.00 is: 1,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.57 : 6,710.51 = 1,187.00 : x
  2. Step 2: Convert to fraction form
    4,473.57/6,710.51 = 1,187.00/x
  3. Step 3: Cross multiply
    4,473.57x = 6,710.51 × 1,187.00
  4. Step 4: Simplify right side
    4,473.57x = 7,965,369.95
  5. Step 5: Solve for x
    x = 7,965,369.95/4,473.57
  6. Step 6: Final answer
    x = 1,780.54

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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.