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Finding the Fourth Proportional to 9,616.72, 14,415.72 and 4,686.16

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Solution

The fourth proportional to 9,616.72, 14,415.72 and 4,686.16 is: 7,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.72 : 14,415.72 = 4,686.16 : x
  2. Step 2: Convert to fraction form
    9,616.72/14,415.72 = 4,686.16/x
  3. Step 3: Cross multiply
    9,616.72x = 14,415.72 × 4,686.16
  4. Step 4: Simplify right side
    9,616.72x = 67,554,370.44
  5. Step 5: Solve for x
    x = 67,554,370.44/9,616.72
  6. Step 6: Final answer
    x = 7,024.68

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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.