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Finding the Fourth Proportional to 9,772.19, 14,630.16 and 8,757.97

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Solution

The fourth proportional to 9,772.19, 14,630.16 and 8,757.97 is: 13,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.19 : 14,630.16 = 8,757.97 : x
  2. Step 2: Convert to fraction form
    9,772.19/14,630.16 = 8,757.97/x
  3. Step 3: Cross multiply
    9,772.19x = 14,630.16 × 8,757.97
  4. Step 4: Simplify right side
    9,772.19x = 128,130,465.80
  5. Step 5: Solve for x
    x = 128,130,465.80/9,772.19
  6. Step 6: Final answer
    x = 13,111.75

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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.