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Finding the Fourth Proportional to 14,642.00, 21,968.09 and 10,643.13

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Solution

The fourth proportional to 14,642.00, 21,968.09 and 10,643.13 is: 15,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.00 : 21,968.09 = 10,643.13 : x
  2. Step 2: Convert to fraction form
    14,642.00/21,968.09 = 10,643.13/x
  3. Step 3: Cross multiply
    14,642.00x = 21,968.09 × 10,643.13
  4. Step 4: Simplify right side
    14,642.00x = 233,809,184.51
  5. Step 5: Solve for x
    x = 233,809,184.51/14,642.00
  6. Step 6: Final answer
    x = 15,968.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.