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Finding the Fourth Proportional to 6,406.99, 9,564.68 and 5,950.15

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Solution

The fourth proportional to 6,406.99, 9,564.68 and 5,950.15 is: 8,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.99 : 9,564.68 = 5,950.15 : x
  2. Step 2: Convert to fraction form
    6,406.99/9,564.68 = 5,950.15/x
  3. Step 3: Cross multiply
    6,406.99x = 9,564.68 × 5,950.15
  4. Step 4: Simplify right side
    6,406.99x = 56,911,280.70
  5. Step 5: Solve for x
    x = 56,911,280.70/6,406.99
  6. Step 6: Final answer
    x = 8,882.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.