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Finding the Fourth Proportional to 9,896.81, 14,851.19 and 5,220.28

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Solution

The fourth proportional to 9,896.81, 14,851.19 and 5,220.28 is: 7,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.81 : 14,851.19 = 5,220.28 : x
  2. Step 2: Convert to fraction form
    9,896.81/14,851.19 = 5,220.28/x
  3. Step 3: Cross multiply
    9,896.81x = 14,851.19 × 5,220.28
  4. Step 4: Simplify right side
    9,896.81x = 77,527,370.13
  5. Step 5: Solve for x
    x = 77,527,370.13/9,896.81
  6. Step 6: Final answer
    x = 7,833.57

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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.