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Finding the Fourth Proportional to 6,295.75, 9,442.98 and 1,913.24

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Solution

The fourth proportional to 6,295.75, 9,442.98 and 1,913.24 is: 2,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.75 : 9,442.98 = 1,913.24 : x
  2. Step 2: Convert to fraction form
    6,295.75/9,442.98 = 1,913.24/x
  3. Step 3: Cross multiply
    6,295.75x = 9,442.98 × 1,913.24
  4. Step 4: Simplify right side
    6,295.75x = 18,066,710.66
  5. Step 5: Solve for x
    x = 18,066,710.66/6,295.75
  6. Step 6: Final answer
    x = 2,869.67

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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.