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Finding the Fourth Proportional to 6,533.44, 9,005.52 and 5,114.76

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Solution

The fourth proportional to 6,533.44, 9,005.52 and 5,114.76 is: 7,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.44 : 9,005.52 = 5,114.76 : x
  2. Step 2: Convert to fraction form
    6,533.44/9,005.52 = 5,114.76/x
  3. Step 3: Cross multiply
    6,533.44x = 9,005.52 × 5,114.76
  4. Step 4: Simplify right side
    6,533.44x = 46,061,073.48
  5. Step 5: Solve for x
    x = 46,061,073.48/6,533.44
  6. Step 6: Final answer
    x = 7,050.05

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Half 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.