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Finding the Fourth Proportional to 13,952.16, 19,253.32 and 7,664.16

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Solution

The fourth proportional to 13,952.16, 19,253.32 and 7,664.16 is: 10,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.16 : 19,253.32 = 7,664.16 : x
  2. Step 2: Convert to fraction form
    13,952.16/19,253.32 = 7,664.16/x
  3. Step 3: Cross multiply
    13,952.16x = 19,253.32 × 7,664.16
  4. Step 4: Simplify right side
    13,952.16x = 147,560,525.01
  5. Step 5: Solve for x
    x = 147,560,525.01/13,952.16
  6. Step 6: Final answer
    x = 10,576.18

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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.