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Finding the Fourth Proportional to 34,710.46, 52,065.86 and 8,415.20

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Solution

The fourth proportional to 34,710.46, 52,065.86 and 8,415.20 is: 12,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,710.46 : 52,065.86 = 8,415.20 : x
  2. Step 2: Convert to fraction form
    34,710.46/52,065.86 = 8,415.20/x
  3. Step 3: Cross multiply
    34,710.46x = 52,065.86 × 8,415.20
  4. Step 4: Simplify right side
    34,710.46x = 438,144,517.91
  5. Step 5: Solve for x
    x = 438,144,517.91/34,710.46
  6. Step 6: Final answer
    x = 12,622.84

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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.