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Finding the Fourth Proportional to 10,038.53, 13,844.32 and 7,049.03

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Solution

The fourth proportional to 10,038.53, 13,844.32 and 7,049.03 is: 9,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.53 : 13,844.32 = 7,049.03 : x
  2. Step 2: Convert to fraction form
    10,038.53/13,844.32 = 7,049.03/x
  3. Step 3: Cross multiply
    10,038.53x = 13,844.32 × 7,049.03
  4. Step 4: Simplify right side
    10,038.53x = 97,588,940.17
  5. Step 5: Solve for x
    x = 97,588,940.17/10,038.53
  6. Step 6: Final answer
    x = 9,721.43

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1.5x scale

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.