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Finding the Fourth Proportional to 6,516.74, 9,775.10 and 1,586.37

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Solution

The fourth proportional to 6,516.74, 9,775.10 and 1,586.37 is: 2,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.74 : 9,775.10 = 1,586.37 : x
  2. Step 2: Convert to fraction form
    6,516.74/9,775.10 = 1,586.37/x
  3. Step 3: Cross multiply
    6,516.74x = 9,775.10 × 1,586.37
  4. Step 4: Simplify right side
    6,516.74x = 15,506,917.46
  5. Step 5: Solve for x
    x = 15,506,917.46/6,516.74
  6. Step 6: Final answer
    x = 2,379.55

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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.