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Finding the Fourth Proportional to 9,468.68, 14,202.95 and 2,894.84

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Solution

The fourth proportional to 9,468.68, 14,202.95 and 2,894.84 is: 4,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.68 : 14,202.95 = 2,894.84 : x
  2. Step 2: Convert to fraction form
    9,468.68/14,202.95 = 2,894.84/x
  3. Step 3: Cross multiply
    9,468.68x = 14,202.95 × 2,894.84
  4. Step 4: Simplify right side
    9,468.68x = 41,115,204.00
  5. Step 5: Solve for x
    x = 41,115,204.00/9,468.68
  6. Step 6: Final answer
    x = 4,342.23

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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.