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Finding the Fourth Proportional to 10,392.86, 14,337.16 and 7,555.84

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Solution

The fourth proportional to 10,392.86, 14,337.16 and 7,555.84 is: 10,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.86 : 14,337.16 = 7,555.84 : x
  2. Step 2: Convert to fraction form
    10,392.86/14,337.16 = 7,555.84/x
  3. Step 3: Cross multiply
    10,392.86x = 14,337.16 × 7,555.84
  4. Step 4: Simplify right side
    10,392.86x = 108,329,232.28
  5. Step 5: Solve for x
    x = 108,329,232.28/10,392.86
  6. Step 6: Final answer
    x = 10,423.43

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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.