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Finding the Fourth Proportional to 6,466.01, 9,699.08 and 5,175.68

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Solution

The fourth proportional to 6,466.01, 9,699.08 and 5,175.68 is: 7,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.01 : 9,699.08 = 5,175.68 : x
  2. Step 2: Convert to fraction form
    6,466.01/9,699.08 = 5,175.68/x
  3. Step 3: Cross multiply
    6,466.01x = 9,699.08 × 5,175.68
  4. Step 4: Simplify right side
    6,466.01x = 50,199,260.00
  5. Step 5: Solve for x
    x = 50,199,260.00/6,466.01
  6. Step 6: Final answer
    x = 7,763.57

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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.