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Finding the Fourth Proportional to 13,052.88, 19,569.76 and 8,378.16

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Solution

The fourth proportional to 13,052.88, 19,569.76 and 8,378.16 is: 12,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.88 : 19,569.76 = 8,378.16 : x
  2. Step 2: Convert to fraction form
    13,052.88/19,569.76 = 8,378.16/x
  3. Step 3: Cross multiply
    13,052.88x = 19,569.76 × 8,378.16
  4. Step 4: Simplify right side
    13,052.88x = 163,958,580.44
  5. Step 5: Solve for x
    x = 163,958,580.44/13,052.88
  6. Step 6: Final answer
    x = 12,561.10

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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.