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Finding the Fourth Proportional to 9,753.93, 13,456.00 and 6,214.94

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Solution

The fourth proportional to 9,753.93, 13,456.00 and 6,214.94 is: 8,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.93 : 13,456.00 = 6,214.94 : x
  2. Step 2: Convert to fraction form
    9,753.93/13,456.00 = 6,214.94/x
  3. Step 3: Cross multiply
    9,753.93x = 13,456.00 × 6,214.94
  4. Step 4: Simplify right side
    9,753.93x = 83,628,223.59
  5. Step 5: Solve for x
    x = 83,628,223.59/9,753.93
  6. Step 6: Final answer
    x = 8,573.80

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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.