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Finding the Fourth Proportional to 10,957.79, 16,440.82 and 6,578.30

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Solution

The fourth proportional to 10,957.79, 16,440.82 and 6,578.30 is: 9,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.79 : 16,440.82 = 6,578.30 : x
  2. Step 2: Convert to fraction form
    10,957.79/16,440.82 = 6,578.30/x
  3. Step 3: Cross multiply
    10,957.79x = 16,440.82 × 6,578.30
  4. Step 4: Simplify right side
    10,957.79x = 108,152,547.56
  5. Step 5: Solve for x
    x = 108,152,547.56/10,957.79
  6. Step 6: Final answer
    x = 9,869.93

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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.