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Finding the Fourth Proportional to 10,324.66, 14,253.95 and 6,798.13

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Solution

The fourth proportional to 10,324.66, 14,253.95 and 6,798.13 is: 9,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.66 : 14,253.95 = 6,798.13 : x
  2. Step 2: Convert to fraction form
    10,324.66/14,253.95 = 6,798.13/x
  3. Step 3: Cross multiply
    10,324.66x = 14,253.95 × 6,798.13
  4. Step 4: Simplify right side
    10,324.66x = 96,900,205.11
  5. Step 5: Solve for x
    x = 96,900,205.11/10,324.66
  6. Step 6: Final answer
    x = 9,385.32

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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.