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Finding the Fourth Proportional to 9,952.23, 13,739.31 and 6,782.31

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Solution

The fourth proportional to 9,952.23, 13,739.31 and 6,782.31 is: 9,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.23 : 13,739.31 = 6,782.31 : x
  2. Step 2: Convert to fraction form
    9,952.23/13,739.31 = 6,782.31/x
  3. Step 3: Cross multiply
    9,952.23x = 13,739.31 × 6,782.31
  4. Step 4: Simplify right side
    9,952.23x = 93,184,259.61
  5. Step 5: Solve for x
    x = 93,184,259.61/9,952.23
  6. Step 6: Final answer
    x = 9,363.15

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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.