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Finding the Fourth Proportional to 4,658.31, 6,987.03 and 1,696.77

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Solution

The fourth proportional to 4,658.31, 6,987.03 and 1,696.77 is: 2,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.31 : 6,987.03 = 1,696.77 : x
  2. Step 2: Convert to fraction form
    4,658.31/6,987.03 = 1,696.77/x
  3. Step 3: Cross multiply
    4,658.31x = 6,987.03 × 1,696.77
  4. Step 4: Simplify right side
    4,658.31x = 11,855,382.89
  5. Step 5: Solve for x
    x = 11,855,382.89/4,658.31
  6. Step 6: Final answer
    x = 2,545.00

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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.