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Finding the Fourth Proportional to 10,603.84, 15,894.68 and 3,581.42

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Solution

The fourth proportional to 10,603.84, 15,894.68 and 3,581.42 is: 5,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.84 : 15,894.68 = 3,581.42 : x
  2. Step 2: Convert to fraction form
    10,603.84/15,894.68 = 3,581.42/x
  3. Step 3: Cross multiply
    10,603.84x = 15,894.68 × 3,581.42
  4. Step 4: Simplify right side
    10,603.84x = 56,925,524.85
  5. Step 5: Solve for x
    x = 56,925,524.85/10,603.84
  6. Step 6: Final answer
    x = 5,368.39

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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.