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Finding the Fourth Proportional to 6,596.74, 9,848.05 and 6,366.06

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Solution

The fourth proportional to 6,596.74, 9,848.05 and 6,366.06 is: 9,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.74 : 9,848.05 = 6,366.06 : x
  2. Step 2: Convert to fraction form
    6,596.74/9,848.05 = 6,366.06/x
  3. Step 3: Cross multiply
    6,596.74x = 9,848.05 × 6,366.06
  4. Step 4: Simplify right side
    6,596.74x = 62,693,277.18
  5. Step 5: Solve for x
    x = 62,693,277.18/6,596.74
  6. Step 6: Final answer
    x = 9,503.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.