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Finding the Fourth Proportional to 9,731.99, 14,544.65 and 7,105.03

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Solution

The fourth proportional to 9,731.99, 14,544.65 and 7,105.03 is: 10,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.99 : 14,544.65 = 7,105.03 : x
  2. Step 2: Convert to fraction form
    9,731.99/14,544.65 = 7,105.03/x
  3. Step 3: Cross multiply
    9,731.99x = 14,544.65 × 7,105.03
  4. Step 4: Simplify right side
    9,731.99x = 103,340,155.99
  5. Step 5: Solve for x
    x = 103,340,155.99/9,731.99
  6. Step 6: Final answer
    x = 10,618.60

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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.