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Finding the Fourth Proportional to 11,422.46, 15,762.13 and 6,945.59

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Solution

The fourth proportional to 11,422.46, 15,762.13 and 6,945.59 is: 9,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.46 : 15,762.13 = 6,945.59 : x
  2. Step 2: Convert to fraction form
    11,422.46/15,762.13 = 6,945.59/x
  3. Step 3: Cross multiply
    11,422.46x = 15,762.13 × 6,945.59
  4. Step 4: Simplify right side
    11,422.46x = 109,477,292.51
  5. Step 5: Solve for x
    x = 109,477,292.51/11,422.46
  6. Step 6: Final answer
    x = 9,584.39

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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.