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Finding the Fourth Proportional to 34,507.38, 51,761 and 10,816.76

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Solution

The fourth proportional to 34,507.38, 51,761 and 10,816.76 is: 16,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507.38 : 51,761 = 10,816.76 : x
  2. Step 2: Convert to fraction form
    34,507.38/51,761 = 10,816.76/x
  3. Step 3: Cross multiply
    34,507.38x = 51,761 × 10,816.76
  4. Step 4: Simplify right side
    34,507.38x = 559,886,314.36
  5. Step 5: Solve for x
    x = 559,886,314.36/34,507.38
  6. Step 6: Final answer
    x = 16,225.12

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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.