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Finding the Fourth Proportional to 6,497.79, 9,748.13 and 3,574.59

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Solution

The fourth proportional to 6,497.79, 9,748.13 and 3,574.59 is: 5,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.79 : 9,748.13 = 3,574.59 : x
  2. Step 2: Convert to fraction form
    6,497.79/9,748.13 = 3,574.59/x
  3. Step 3: Cross multiply
    6,497.79x = 9,748.13 × 3,574.59
  4. Step 4: Simplify right side
    6,497.79x = 34,845,550.14
  5. Step 5: Solve for x
    x = 34,845,550.14/6,497.79
  6. Step 6: Final answer
    x = 5,362.68

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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.