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Finding the Fourth Proportional to 10,392.58, 14,342.11 and 5,677.16

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Solution

The fourth proportional to 10,392.58, 14,342.11 and 5,677.16 is: 7,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.58 : 14,342.11 = 5,677.16 : x
  2. Step 2: Convert to fraction form
    10,392.58/14,342.11 = 5,677.16/x
  3. Step 3: Cross multiply
    10,392.58x = 14,342.11 × 5,677.16
  4. Step 4: Simplify right side
    10,392.58x = 81,422,503.26
  5. Step 5: Solve for x
    x = 81,422,503.26/10,392.58
  6. Step 6: Final answer
    x = 7,834.68

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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.