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Finding the Fourth Proportional to 9,468.70, 14,203.08 and 2,894.86

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Solution

The fourth proportional to 9,468.70, 14,203.08 and 2,894.86 is: 4,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.70 : 14,203.08 = 2,894.86 : x
  2. Step 2: Convert to fraction form
    9,468.70/14,203.08 = 2,894.86/x
  3. Step 3: Cross multiply
    9,468.70x = 14,203.08 × 2,894.86
  4. Step 4: Simplify right side
    9,468.70x = 41,115,928.17
  5. Step 5: Solve for x
    x = 41,115,928.17/9,468.70
  6. Step 6: Final answer
    x = 4,342.30

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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.