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Finding the Fourth Proportional to 10,578.32, 14,602.92 and 7,934.48

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Solution

The fourth proportional to 10,578.32, 14,602.92 and 7,934.48 is: 10,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.32 : 14,602.92 = 7,934.48 : x
  2. Step 2: Convert to fraction form
    10,578.32/14,602.92 = 7,934.48/x
  3. Step 3: Cross multiply
    10,578.32x = 14,602.92 × 7,934.48
  4. Step 4: Simplify right side
    10,578.32x = 115,866,576.68
  5. Step 5: Solve for x
    x = 115,866,576.68/10,578.32
  6. Step 6: Final answer
    x = 10,953.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.