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Finding the Fourth Proportional to 14,232.78, 19,642.00 and 7,859.35

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Solution

The fourth proportional to 14,232.78, 19,642.00 and 7,859.35 is: 10,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.78 : 19,642.00 = 7,859.35 : x
  2. Step 2: Convert to fraction form
    14,232.78/19,642.00 = 7,859.35/x
  3. Step 3: Cross multiply
    14,232.78x = 19,642.00 × 7,859.35
  4. Step 4: Simplify right side
    14,232.78x = 154,373,215.19
  5. Step 5: Solve for x
    x = 154,373,215.19/14,232.78
  6. Step 6: Final answer
    x = 10,846.31

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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.