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Finding the Fourth Proportional to 4,663.89, 6,995.87 and 1,742.16

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Solution

The fourth proportional to 4,663.89, 6,995.87 and 1,742.16 is: 2,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.89 : 6,995.87 = 1,742.16 : x
  2. Step 2: Convert to fraction form
    4,663.89/6,995.87 = 1,742.16/x
  3. Step 3: Cross multiply
    4,663.89x = 6,995.87 × 1,742.16
  4. Step 4: Simplify right side
    4,663.89x = 12,187,916.17
  5. Step 5: Solve for x
    x = 12,187,916.17/4,663.89
  6. Step 6: Final answer
    x = 2,613.25

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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.