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Finding the Fourth Proportional to 9,731.04, 14,589.84 and 6,223.20

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Solution

The fourth proportional to 9,731.04, 14,589.84 and 6,223.20 is: 9,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.04 : 14,589.84 = 6,223.20 : x
  2. Step 2: Convert to fraction form
    9,731.04/14,589.84 = 6,223.20/x
  3. Step 3: Cross multiply
    9,731.04x = 14,589.84 × 6,223.20
  4. Step 4: Simplify right side
    9,731.04x = 90,795,492.29
  5. Step 5: Solve for x
    x = 90,795,492.29/9,731.04
  6. Step 6: Final answer
    x = 9,330.50

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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.