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Finding the Fourth Proportional to 6,710.96, 10,069.29 and 3,590.17

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Solution

The fourth proportional to 6,710.96, 10,069.29 and 3,590.17 is: 5,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.96 : 10,069.29 = 3,590.17 : x
  2. Step 2: Convert to fraction form
    6,710.96/10,069.29 = 3,590.17/x
  3. Step 3: Cross multiply
    6,710.96x = 10,069.29 × 3,590.17
  4. Step 4: Simplify right side
    6,710.96x = 36,150,437.71
  5. Step 5: Solve for x
    x = 36,150,437.71/6,710.96
  6. Step 6: Final answer
    x = 5,386.77

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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.