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Finding the Fourth Proportional to 13,135.80, 19,703.70 and 6,223.80

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Solution

The fourth proportional to 13,135.80, 19,703.70 and 6,223.80 is: 9,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.80 : 19,703.70 = 6,223.80 : x
  2. Step 2: Convert to fraction form
    13,135.80/19,703.70 = 6,223.80/x
  3. Step 3: Cross multiply
    13,135.80x = 19,703.70 × 6,223.80
  4. Step 4: Simplify right side
    13,135.80x = 122,631,888.06
  5. Step 5: Solve for x
    x = 122,631,888.06/13,135.80
  6. Step 6: Final answer
    x = 9,335.70

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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.