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Finding the Fourth Proportional to 7,071.32, 9,751.86 and 4,548.98

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Solution

The fourth proportional to 7,071.32, 9,751.86 and 4,548.98 is: 6,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.32 : 9,751.86 = 4,548.98 : x
  2. Step 2: Convert to fraction form
    7,071.32/9,751.86 = 4,548.98/x
  3. Step 3: Cross multiply
    7,071.32x = 9,751.86 × 4,548.98
  4. Step 4: Simplify right side
    7,071.32x = 44,361,016.10
  5. Step 5: Solve for x
    x = 44,361,016.10/7,071.32
  6. Step 6: Final answer
    x = 6,273.37

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Half scale
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Double scale
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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.