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Finding the Fourth Proportional to 19,597.84, 29,401.02 and 6,449.56

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Solution

The fourth proportional to 19,597.84, 29,401.02 and 6,449.56 is: 9,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.84 : 29,401.02 = 6,449.56 : x
  2. Step 2: Convert to fraction form
    19,597.84/29,401.02 = 6,449.56/x
  3. Step 3: Cross multiply
    19,597.84x = 29,401.02 × 6,449.56
  4. Step 4: Simplify right side
    19,597.84x = 189,623,642.55
  5. Step 5: Solve for x
    x = 189,623,642.55/19,597.84
  6. Step 6: Final answer
    x = 9,675.74

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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.