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Finding the Fourth Proportional to 29,778.84, 44,668.87 and 9,788.45

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Solution

The fourth proportional to 29,778.84, 44,668.87 and 9,788.45 is: 14,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778.84 : 44,668.87 = 9,788.45 : x
  2. Step 2: Convert to fraction form
    29,778.84/44,668.87 = 9,788.45/x
  3. Step 3: Cross multiply
    29,778.84x = 44,668.87 × 9,788.45
  4. Step 4: Simplify right side
    29,778.84x = 437,238,752.74
  5. Step 5: Solve for x
    x = 437,238,752.74/29,778.84
  6. Step 6: Final answer
    x = 14,682.87

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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.