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Finding the Fourth Proportional to 10,033, 13,855.04 and 8,458.36

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Solution

The fourth proportional to 10,033, 13,855.04 and 8,458.36 is: 11,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033 : 13,855.04 = 8,458.36 : x
  2. Step 2: Convert to fraction form
    10,033/13,855.04 = 8,458.36/x
  3. Step 3: Cross multiply
    10,033x = 13,855.04 × 8,458.36
  4. Step 4: Simplify right side
    10,033x = 117,190,916.13
  5. Step 5: Solve for x
    x = 117,190,916.13/10,033
  6. Step 6: Final answer
    x = 11,680.55

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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.