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Finding the Fourth Proportional to 6,586.60, 9,873.60 and 3,296.38

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Solution

The fourth proportional to 6,586.60, 9,873.60 and 3,296.38 is: 4,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.60 : 9,873.60 = 3,296.38 : x
  2. Step 2: Convert to fraction form
    6,586.60/9,873.60 = 3,296.38/x
  3. Step 3: Cross multiply
    6,586.60x = 9,873.60 × 3,296.38
  4. Step 4: Simplify right side
    6,586.60x = 32,547,137.57
  5. Step 5: Solve for x
    x = 32,547,137.57/6,586.60
  6. Step 6: Final answer
    x = 4,941.42

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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.