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Finding the Fourth Proportional to 6,307.06, 9,462.10 and 1,924.24

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Solution

The fourth proportional to 6,307.06, 9,462.10 and 1,924.24 is: 2,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.06 : 9,462.10 = 1,924.24 : x
  2. Step 2: Convert to fraction form
    6,307.06/9,462.10 = 1,924.24/x
  3. Step 3: Cross multiply
    6,307.06x = 9,462.10 × 1,924.24
  4. Step 4: Simplify right side
    6,307.06x = 18,207,351.30
  5. Step 5: Solve for x
    x = 18,207,351.30/6,307.06
  6. Step 6: Final answer
    x = 2,886.82

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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.