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Finding the Fourth Proportional to 6,532.30, 9,014.07 and 4,014.37

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Solution

The fourth proportional to 6,532.30, 9,014.07 and 4,014.37 is: 5,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.30 : 9,014.07 = 4,014.37 : x
  2. Step 2: Convert to fraction form
    6,532.30/9,014.07 = 4,014.37/x
  3. Step 3: Cross multiply
    6,532.30x = 9,014.07 × 4,014.37
  4. Step 4: Simplify right side
    6,532.30x = 36,185,812.19
  5. Step 5: Solve for x
    x = 36,185,812.19/6,532.30
  6. Step 6: Final answer
    x = 5,539.52

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Half scale
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Similar ratio
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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.