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Finding the Fourth Proportional to 4,658.61, 6,988.23 and 1,736.91

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Solution

The fourth proportional to 4,658.61, 6,988.23 and 1,736.91 is: 2,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.61 : 6,988.23 = 1,736.91 : x
  2. Step 2: Convert to fraction form
    4,658.61/6,988.23 = 1,736.91/x
  3. Step 3: Cross multiply
    4,658.61x = 6,988.23 × 1,736.91
  4. Step 4: Simplify right side
    4,658.61x = 12,137,926.57
  5. Step 5: Solve for x
    x = 12,137,926.57/4,658.61
  6. Step 6: Final answer
    x = 2,605.48

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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.