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Finding the Fourth Proportional to 4,866.06, 7,261.12 and 4,342.46

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Solution

The fourth proportional to 4,866.06, 7,261.12 and 4,342.46 is: 6,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.06 : 7,261.12 = 4,342.46 : x
  2. Step 2: Convert to fraction form
    4,866.06/7,261.12 = 4,342.46/x
  3. Step 3: Cross multiply
    4,866.06x = 7,261.12 × 4,342.46
  4. Step 4: Simplify right side
    4,866.06x = 31,531,123.16
  5. Step 5: Solve for x
    x = 31,531,123.16/4,866.06
  6. Step 6: Final answer
    x = 6,479.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.