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Finding the Fourth Proportional to 6,597, 9,103.86 and 3,802.50

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Solution

The fourth proportional to 6,597, 9,103.86 and 3,802.50 is: 5,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597 : 9,103.86 = 3,802.50 : x
  2. Step 2: Convert to fraction form
    6,597/9,103.86 = 3,802.50/x
  3. Step 3: Cross multiply
    6,597x = 9,103.86 × 3,802.50
  4. Step 4: Simplify right side
    6,597x = 34,617,427.65
  5. Step 5: Solve for x
    x = 34,617,427.65/6,597
  6. Step 6: Final answer
    x = 5,247.45

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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.