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Finding the Fourth Proportional to 5,606.65, 7,681.15 and 5,396.46

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Solution

The fourth proportional to 5,606.65, 7,681.15 and 5,396.46 is: 7,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.65 : 7,681.15 = 5,396.46 : x
  2. Step 2: Convert to fraction form
    5,606.65/7,681.15 = 5,396.46/x
  3. Step 3: Cross multiply
    5,606.65x = 7,681.15 × 5,396.46
  4. Step 4: Simplify right side
    5,606.65x = 41,451,018.73
  5. Step 5: Solve for x
    x = 41,451,018.73/5,606.65
  6. Step 6: Final answer
    x = 7,393.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.