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Finding the Fourth Proportional to 29,854.70, 44,782.50 and 7,667.58

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Solution

The fourth proportional to 29,854.70, 44,782.50 and 7,667.58 is: 11,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.70 : 44,782.50 = 7,667.58 : x
  2. Step 2: Convert to fraction form
    29,854.70/44,782.50 = 7,667.58/x
  3. Step 3: Cross multiply
    29,854.70x = 44,782.50 × 7,667.58
  4. Step 4: Simplify right side
    29,854.70x = 343,373,598.04
  5. Step 5: Solve for x
    x = 343,373,598.04/29,854.70
  6. Step 6: Final answer
    x = 11,501.49

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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.