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Finding the Fourth Proportional to 10,597.98, 15,889.29 and 6,214.62

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Solution

The fourth proportional to 10,597.98, 15,889.29 and 6,214.62 is: 9,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.98 : 15,889.29 = 6,214.62 : x
  2. Step 2: Convert to fraction form
    10,597.98/15,889.29 = 6,214.62/x
  3. Step 3: Cross multiply
    10,597.98x = 15,889.29 × 6,214.62
  4. Step 4: Simplify right side
    10,597.98x = 98,745,899.42
  5. Step 5: Solve for x
    x = 98,745,899.42/10,597.98
  6. Step 6: Final answer
    x = 9,317.43

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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.