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Finding the Fourth Proportional to 9,612.84, 13,263.69 and 5,837.97

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Solution

The fourth proportional to 9,612.84, 13,263.69 and 5,837.97 is: 8,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.84 : 13,263.69 = 5,837.97 : x
  2. Step 2: Convert to fraction form
    9,612.84/13,263.69 = 5,837.97/x
  3. Step 3: Cross multiply
    9,612.84x = 13,263.69 × 5,837.97
  4. Step 4: Simplify right side
    9,612.84x = 77,433,024.31
  5. Step 5: Solve for x
    x = 77,433,024.31/9,612.84
  6. Step 6: Final answer
    x = 8,055.17

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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.