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Finding the Fourth Proportional to 9,774.13, 14,660.99 and 2,378.63

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Solution

The fourth proportional to 9,774.13, 14,660.99 and 2,378.63 is: 3,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.13 : 14,660.99 = 2,378.63 : x
  2. Step 2: Convert to fraction form
    9,774.13/14,660.99 = 2,378.63/x
  3. Step 3: Cross multiply
    9,774.13x = 14,660.99 × 2,378.63
  4. Step 4: Simplify right side
    9,774.13x = 34,873,070.64
  5. Step 5: Solve for x
    x = 34,873,070.64/9,774.13
  6. Step 6: Final answer
    x = 3,567.90

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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.