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Finding the Fourth Proportional to 10,842.03, 14,959.32 and 6,809.52

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Solution

The fourth proportional to 10,842.03, 14,959.32 and 6,809.52 is: 9,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.03 : 14,959.32 = 6,809.52 : x
  2. Step 2: Convert to fraction form
    10,842.03/14,959.32 = 6,809.52/x
  3. Step 3: Cross multiply
    10,842.03x = 14,959.32 × 6,809.52
  4. Step 4: Simplify right side
    10,842.03x = 101,865,788.73
  5. Step 5: Solve for x
    x = 101,865,788.73/10,842.03
  6. Step 6: Final answer
    x = 9,395.45

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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.