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Finding the Fourth Proportional to 7,027.30, 9,701.06 and 4,513.16

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Solution

The fourth proportional to 7,027.30, 9,701.06 and 4,513.16 is: 6,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.30 : 9,701.06 = 4,513.16 : x
  2. Step 2: Convert to fraction form
    7,027.30/9,701.06 = 4,513.16/x
  3. Step 3: Cross multiply
    7,027.30x = 9,701.06 × 4,513.16
  4. Step 4: Simplify right side
    7,027.30x = 43,782,437.64
  5. Step 5: Solve for x
    x = 43,782,437.64/7,027.30
  6. Step 6: Final answer
    x = 6,230.34

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Half scale
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Double 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.