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Finding the Fourth Proportional to 6,709.65, 10,064.16 and 3,197.10

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Solution

The fourth proportional to 6,709.65, 10,064.16 and 3,197.10 is: 4,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.65 : 10,064.16 = 3,197.10 : x
  2. Step 2: Convert to fraction form
    6,709.65/10,064.16 = 3,197.10/x
  3. Step 3: Cross multiply
    6,709.65x = 10,064.16 × 3,197.10
  4. Step 4: Simplify right side
    6,709.65x = 32,176,125.94
  5. Step 5: Solve for x
    x = 32,176,125.94/6,709.65
  6. Step 6: Final answer
    x = 4,795.50

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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.