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Finding the Fourth Proportional to 9,657.49, 14,488.49 and 2,993.64

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Solution

The fourth proportional to 9,657.49, 14,488.49 and 2,993.64 is: 4,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.49 : 14,488.49 = 2,993.64 : x
  2. Step 2: Convert to fraction form
    9,657.49/14,488.49 = 2,993.64/x
  3. Step 3: Cross multiply
    9,657.49x = 14,488.49 × 2,993.64
  4. Step 4: Simplify right side
    9,657.49x = 43,373,250.76
  5. Step 5: Solve for x
    x = 43,373,250.76/9,657.49
  6. Step 6: Final answer
    x = 4,491.15

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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.