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Finding the Fourth Proportional to 8,599.84, 12,894.42 and 5,634.63

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Solution

The fourth proportional to 8,599.84, 12,894.42 and 5,634.63 is: 8,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.84 : 12,894.42 = 5,634.63 : x
  2. Step 2: Convert to fraction form
    8,599.84/12,894.42 = 5,634.63/x
  3. Step 3: Cross multiply
    8,599.84x = 12,894.42 × 5,634.63
  4. Step 4: Simplify right side
    8,599.84x = 72,655,306.89
  5. Step 5: Solve for x
    x = 72,655,306.89/8,599.84
  6. Step 6: Final answer
    x = 8,448.45

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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.