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Finding the Fourth Proportional to 6,967, 10,437.54 and 6,681.88

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Solution

The fourth proportional to 6,967, 10,437.54 and 6,681.88 is: 10,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967 : 10,437.54 = 6,681.88 : x
  2. Step 2: Convert to fraction form
    6,967/10,437.54 = 6,681.88/x
  3. Step 3: Cross multiply
    6,967x = 10,437.54 × 6,681.88
  4. Step 4: Simplify right side
    6,967x = 69,742,389.78
  5. Step 5: Solve for x
    x = 69,742,389.78/6,967
  6. Step 6: Final answer
    x = 10,010.39

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