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Finding the Fourth Proportional to 10,648.86, 14,685.87 and 6,670.41

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Solution

The fourth proportional to 10,648.86, 14,685.87 and 6,670.41 is: 9,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.86 : 14,685.87 = 6,670.41 : x
  2. Step 2: Convert to fraction form
    10,648.86/14,685.87 = 6,670.41/x
  3. Step 3: Cross multiply
    10,648.86x = 14,685.87 × 6,670.41
  4. Step 4: Simplify right side
    10,648.86x = 97,960,774.11
  5. Step 5: Solve for x
    x = 97,960,774.11/10,648.86
  6. Step 6: Final answer
    x = 9,199.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.