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Finding the Fourth Proportional to 10,586.78, 14,603.04 and 6,803.43

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Solution

The fourth proportional to 10,586.78, 14,603.04 and 6,803.43 is: 9,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.78 : 14,603.04 = 6,803.43 : x
  2. Step 2: Convert to fraction form
    10,586.78/14,603.04 = 6,803.43/x
  3. Step 3: Cross multiply
    10,586.78x = 14,603.04 × 6,803.43
  4. Step 4: Simplify right side
    10,586.78x = 99,350,760.43
  5. Step 5: Solve for x
    x = 99,350,760.43/10,586.78
  6. Step 6: Final answer
    x = 9,384.42

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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.