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Finding the Fourth Proportional to 30,397.16, 45,592.54 and 8,209.16

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Solution

The fourth proportional to 30,397.16, 45,592.54 and 8,209.16 is: 12,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.16 : 45,592.54 = 8,209.16 : x
  2. Step 2: Convert to fraction form
    30,397.16/45,592.54 = 8,209.16/x
  3. Step 3: Cross multiply
    30,397.16x = 45,592.54 × 8,209.16
  4. Step 4: Simplify right side
    30,397.16x = 374,276,455.67
  5. Step 5: Solve for x
    x = 374,276,455.67/30,397.16
  6. Step 6: Final answer
    x = 12,312.88

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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.