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Finding the Fourth Proportional to 5,566.32, 7,678.80 and 4,681.80

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Solution

The fourth proportional to 5,566.32, 7,678.80 and 4,681.80 is: 6,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.32 : 7,678.80 = 4,681.80 : x
  2. Step 2: Convert to fraction form
    5,566.32/7,678.80 = 4,681.80/x
  3. Step 3: Cross multiply
    5,566.32x = 7,678.80 × 4,681.80
  4. Step 4: Simplify right side
    5,566.32x = 35,950,605.84
  5. Step 5: Solve for x
    x = 35,950,605.84/5,566.32
  6. Step 6: Final answer
    x = 6,458.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.