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Finding the Fourth Proportional to 6,059.67, 8,365.04 and 4,712.23

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Solution

The fourth proportional to 6,059.67, 8,365.04 and 4,712.23 is: 6,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.67 : 8,365.04 = 4,712.23 : x
  2. Step 2: Convert to fraction form
    6,059.67/8,365.04 = 4,712.23/x
  3. Step 3: Cross multiply
    6,059.67x = 8,365.04 × 4,712.23
  4. Step 4: Simplify right side
    6,059.67x = 39,417,968.88
  5. Step 5: Solve for x
    x = 39,417,968.88/6,059.67
  6. Step 6: Final answer
    x = 6,504.97

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Half scale
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Double scale
Find fourth proportional to 6,060.67, 8,366.42 and 4,713.23
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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.