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Finding the Fourth Proportional to 9,402.53, 14,076.11 and 6,948.29

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Solution

The fourth proportional to 9,402.53, 14,076.11 and 6,948.29 is: 10,401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.53 : 14,076.11 = 6,948.29 : x
  2. Step 2: Convert to fraction form
    9,402.53/14,076.11 = 6,948.29/x
  3. Step 3: Cross multiply
    9,402.53x = 14,076.11 × 6,948.29
  4. Step 4: Simplify right side
    9,402.53x = 97,804,946.91
  5. Step 5: Solve for x
    x = 97,804,946.91/9,402.53
  6. Step 6: Final answer
    x = 10,401.99

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1.5x scale

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.