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Finding the Fourth Proportional to 10,810.04, 14,917.92 and 6,832.94

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Solution

The fourth proportional to 10,810.04, 14,917.92 and 6,832.94 is: 9,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.04 : 14,917.92 = 6,832.94 : x
  2. Step 2: Convert to fraction form
    10,810.04/14,917.92 = 6,832.94/x
  3. Step 3: Cross multiply
    10,810.04x = 14,917.92 × 6,832.94
  4. Step 4: Simplify right side
    10,810.04x = 101,933,252.28
  5. Step 5: Solve for x
    x = 101,933,252.28/10,810.04
  6. Step 6: Final answer
    x = 9,429.50

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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.