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Finding the Fourth Proportional to 5,663.74, 8,495.31 and 1,767.70

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Solution

The fourth proportional to 5,663.74, 8,495.31 and 1,767.70 is: 2,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.74 : 8,495.31 = 1,767.70 : x
  2. Step 2: Convert to fraction form
    5,663.74/8,495.31 = 1,767.70/x
  3. Step 3: Cross multiply
    5,663.74x = 8,495.31 × 1,767.70
  4. Step 4: Simplify right side
    5,663.74x = 15,017,159.49
  5. Step 5: Solve for x
    x = 15,017,159.49/5,663.74
  6. Step 6: Final answer
    x = 2,651.46

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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.