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Finding the Fourth Proportional to 9,678.99, 14,525.88 and 6,867.57

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Solution

The fourth proportional to 9,678.99, 14,525.88 and 6,867.57 is: 10,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.99 : 14,525.88 = 6,867.57 : x
  2. Step 2: Convert to fraction form
    9,678.99/14,525.88 = 6,867.57/x
  3. Step 3: Cross multiply
    9,678.99x = 14,525.88 × 6,867.57
  4. Step 4: Simplify right side
    9,678.99x = 99,757,497.71
  5. Step 5: Solve for x
    x = 99,757,497.71/9,678.99
  6. Step 6: Final answer
    x = 10,306.60

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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.