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Finding the Fourth Proportional to 6,599.68, 9,894.08 and 5,364

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Solution

The fourth proportional to 6,599.68, 9,894.08 and 5,364 is: 8,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.68 : 9,894.08 = 5,364 : x
  2. Step 2: Convert to fraction form
    6,599.68/9,894.08 = 5,364/x
  3. Step 3: Cross multiply
    6,599.68x = 9,894.08 × 5,364
  4. Step 4: Simplify right side
    6,599.68x = 53,071,845.12
  5. Step 5: Solve for x
    x = 53,071,845.12/6,599.68
  6. Step 6: Final answer
    x = 8,041.58

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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.