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Finding the Fourth Proportional to 10,384.21, 14,328.02 and 6,606

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Solution

The fourth proportional to 10,384.21, 14,328.02 and 6,606 is: 9,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.21 : 14,328.02 = 6,606 : x
  2. Step 2: Convert to fraction form
    10,384.21/14,328.02 = 6,606/x
  3. Step 3: Cross multiply
    10,384.21x = 14,328.02 × 6,606
  4. Step 4: Simplify right side
    10,384.21x = 94,650,900.12
  5. Step 5: Solve for x
    x = 94,650,900.12/10,384.21
  6. Step 6: Final answer
    x = 9,114.89

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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.