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Finding the Fourth Proportional to 6,064.70, 9,097.05 and 5,311.40

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Solution

The fourth proportional to 6,064.70, 9,097.05 and 5,311.40 is: 7,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.70 : 9,097.05 = 5,311.40 : x
  2. Step 2: Convert to fraction form
    6,064.70/9,097.05 = 5,311.40/x
  3. Step 3: Cross multiply
    6,064.70x = 9,097.05 × 5,311.40
  4. Step 4: Simplify right side
    6,064.70x = 48,318,071.37
  5. Step 5: Solve for x
    x = 48,318,071.37/6,064.70
  6. Step 6: Final answer
    x = 7,967.10

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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.