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Finding the Fourth Proportional to 9,467.96, 14,204.16 and 2,894.16

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Solution

The fourth proportional to 9,467.96, 14,204.16 and 2,894.16 is: 4,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.96 : 14,204.16 = 2,894.16 : x
  2. Step 2: Convert to fraction form
    9,467.96/14,204.16 = 2,894.16/x
  3. Step 3: Cross multiply
    9,467.96x = 14,204.16 × 2,894.16
  4. Step 4: Simplify right side
    9,467.96x = 41,109,111.71
  5. Step 5: Solve for x
    x = 41,109,111.71/9,467.96
  6. Step 6: Final answer
    x = 4,341.92

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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.