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Finding the Fourth Proportional to 6,748.58, 10,122.89 and 2,365.00

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Solution

The fourth proportional to 6,748.58, 10,122.89 and 2,365.00 is: 3,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.58 : 10,122.89 = 2,365.00 : x
  2. Step 2: Convert to fraction form
    6,748.58/10,122.89 = 2,365.00/x
  3. Step 3: Cross multiply
    6,748.58x = 10,122.89 × 2,365.00
  4. Step 4: Simplify right side
    6,748.58x = 23,940,597.72
  5. Step 5: Solve for x
    x = 23,940,597.72/6,748.58
  6. Step 6: Final answer
    x = 3,547.50

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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.