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Finding the Fourth Proportional to 8,571.06, 11,828.93 and 5,214.10

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Solution

The fourth proportional to 8,571.06, 11,828.93 and 5,214.10 is: 7,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.06 : 11,828.93 = 5,214.10 : x
  2. Step 2: Convert to fraction form
    8,571.06/11,828.93 = 5,214.10/x
  3. Step 3: Cross multiply
    8,571.06x = 11,828.93 × 5,214.10
  4. Step 4: Simplify right side
    8,571.06x = 61,677,223.91
  5. Step 5: Solve for x
    x = 61,677,223.91/8,571.06
  6. Step 6: Final answer
    x = 7,195.99

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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.