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Finding the Fourth Proportional to 8,349.84, 11,522.93 and 5,698.11

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Solution

The fourth proportional to 8,349.84, 11,522.93 and 5,698.11 is: 7,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.84 : 11,522.93 = 5,698.11 : x
  2. Step 2: Convert to fraction form
    8,349.84/11,522.93 = 5,698.11/x
  3. Step 3: Cross multiply
    8,349.84x = 11,522.93 × 5,698.11
  4. Step 4: Simplify right side
    8,349.84x = 65,658,894.17
  5. Step 5: Solve for x
    x = 65,658,894.17/8,349.84
  6. Step 6: Final answer
    x = 7,863.49

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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.