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Finding the Fourth Proportional to 9,798.80, 14,693.16 and 3,224.24

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Solution

The fourth proportional to 9,798.80, 14,693.16 and 3,224.24 is: 4,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.80 : 14,693.16 = 3,224.24 : x
  2. Step 2: Convert to fraction form
    9,798.80/14,693.16 = 3,224.24/x
  3. Step 3: Cross multiply
    9,798.80x = 14,693.16 × 3,224.24
  4. Step 4: Simplify right side
    9,798.80x = 47,374,274.20
  5. Step 5: Solve for x
    x = 47,374,274.20/9,798.80
  6. Step 6: Final answer
    x = 4,834.70

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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.