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Finding the Fourth Proportional to 6,088.84, 9,127.76 and 2,190.50

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Solution

The fourth proportional to 6,088.84, 9,127.76 and 2,190.50 is: 3,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.84 : 9,127.76 = 2,190.50 : x
  2. Step 2: Convert to fraction form
    6,088.84/9,127.76 = 2,190.50/x
  3. Step 3: Cross multiply
    6,088.84x = 9,127.76 × 2,190.50
  4. Step 4: Simplify right side
    6,088.84x = 19,994,358.28
  5. Step 5: Solve for x
    x = 19,994,358.28/6,088.84
  6. Step 6: Final answer
    x = 3,283.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.