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Finding the Fourth Proportional to 6,491.34, 9,734.58 and 3,565.62

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Solution

The fourth proportional to 6,491.34, 9,734.58 and 3,565.62 is: 5,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.34 : 9,734.58 = 3,565.62 : x
  2. Step 2: Convert to fraction form
    6,491.34/9,734.58 = 3,565.62/x
  3. Step 3: Cross multiply
    6,491.34x = 9,734.58 × 3,565.62
  4. Step 4: Simplify right side
    6,491.34x = 34,709,813.14
  5. Step 5: Solve for x
    x = 34,709,813.14/6,491.34
  6. Step 6: Final answer
    x = 5,347.10

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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.