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Finding the Fourth Proportional to 14,219.31, 19,623.06 and 7,846.32

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Solution

The fourth proportional to 14,219.31, 19,623.06 and 7,846.32 is: 10,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.31 : 19,623.06 = 7,846.32 : x
  2. Step 2: Convert to fraction form
    14,219.31/19,623.06 = 7,846.32/x
  3. Step 3: Cross multiply
    14,219.31x = 19,623.06 × 7,846.32
  4. Step 4: Simplify right side
    14,219.31x = 153,968,808.14
  5. Step 5: Solve for x
    x = 153,968,808.14/14,219.31
  6. Step 6: Final answer
    x = 10,828.15

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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.