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Finding the Fourth Proportional to 34,477.54, 51,716.31 and 9,516.76

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Solution

The fourth proportional to 34,477.54, 51,716.31 and 9,516.76 is: 14,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477.54 : 51,716.31 = 9,516.76 : x
  2. Step 2: Convert to fraction form
    34,477.54/51,716.31 = 9,516.76/x
  3. Step 3: Cross multiply
    34,477.54x = 51,716.31 × 9,516.76
  4. Step 4: Simplify right side
    34,477.54x = 492,171,710.36
  5. Step 5: Solve for x
    x = 492,171,710.36/34,477.54
  6. Step 6: Final answer
    x = 14,275.14

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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.