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Finding the Fourth Proportional to 34,321.51, 51,484.09 and 10,946.13

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Solution

The fourth proportional to 34,321.51, 51,484.09 and 10,946.13 is: 16,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,321.51 : 51,484.09 = 10,946.13 : x
  2. Step 2: Convert to fraction form
    34,321.51/51,484.09 = 10,946.13/x
  3. Step 3: Cross multiply
    34,321.51x = 51,484.09 × 10,946.13
  4. Step 4: Simplify right side
    34,321.51x = 563,551,542.07
  5. Step 5: Solve for x
    x = 563,551,542.07/34,321.51
  6. Step 6: Final answer
    x = 16,419.78

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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.