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Finding the Fourth Proportional to 9,681.87, 14,499.41 and 5,509.24

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Solution

The fourth proportional to 9,681.87, 14,499.41 and 5,509.24 is: 8,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.87 : 14,499.41 = 5,509.24 : x
  2. Step 2: Convert to fraction form
    9,681.87/14,499.41 = 5,509.24/x
  3. Step 3: Cross multiply
    9,681.87x = 14,499.41 × 5,509.24
  4. Step 4: Simplify right side
    9,681.87x = 79,880,729.55
  5. Step 5: Solve for x
    x = 79,880,729.55/9,681.87
  6. Step 6: Final answer
    x = 8,250.55

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Double scale
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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.