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Finding the Fourth Proportional to 10,425.78, 14,387.28 and 5,949.45

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Solution

The fourth proportional to 10,425.78, 14,387.28 and 5,949.45 is: 8,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.78 : 14,387.28 = 5,949.45 : x
  2. Step 2: Convert to fraction form
    10,425.78/14,387.28 = 5,949.45/x
  3. Step 3: Cross multiply
    10,425.78x = 14,387.28 × 5,949.45
  4. Step 4: Simplify right side
    10,425.78x = 85,596,403.00
  5. Step 5: Solve for x
    x = 85,596,403.00/10,425.78
  6. Step 6: Final answer
    x = 8,210.07

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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.