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Finding the Fourth Proportional to 6,291.40, 9,437.10 and 6,194.20

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Solution

The fourth proportional to 6,291.40, 9,437.10 and 6,194.20 is: 9,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.40 : 9,437.10 = 6,194.20 : x
  2. Step 2: Convert to fraction form
    6,291.40/9,437.10 = 6,194.20/x
  3. Step 3: Cross multiply
    6,291.40x = 9,437.10 × 6,194.20
  4. Step 4: Simplify right side
    6,291.40x = 58,455,284.82
  5. Step 5: Solve for x
    x = 58,455,284.82/6,291.40
  6. Step 6: Final answer
    x = 9,291.30

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.