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Finding the Fourth Proportional to 34,709.90, 52,064.85 and 8,414.64

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Solution

The fourth proportional to 34,709.90, 52,064.85 and 8,414.64 is: 12,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.90 : 52,064.85 = 8,414.64 : x
  2. Step 2: Convert to fraction form
    34,709.90/52,064.85 = 8,414.64/x
  3. Step 3: Cross multiply
    34,709.90x = 52,064.85 × 8,414.64
  4. Step 4: Simplify right side
    34,709.90x = 438,106,969.40
  5. Step 5: Solve for x
    x = 438,106,969.40/34,709.90
  6. Step 6: Final answer
    x = 12,621.96

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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.