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Finding the Fourth Proportional to 13,750.24, 18,974.76 and 7,782.24

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Solution

The fourth proportional to 13,750.24, 18,974.76 and 7,782.24 is: 10,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.24 : 18,974.76 = 7,782.24 : x
  2. Step 2: Convert to fraction form
    13,750.24/18,974.76 = 7,782.24/x
  3. Step 3: Cross multiply
    13,750.24x = 18,974.76 × 7,782.24
  4. Step 4: Simplify right side
    13,750.24x = 147,666,018.13
  5. Step 5: Solve for x
    x = 147,666,018.13/13,750.24
  6. Step 6: Final answer
    x = 10,739.16

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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.