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Finding the Fourth Proportional to 9,864.36, 14,686.47 and 9,726.48

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Solution

The fourth proportional to 9,864.36, 14,686.47 and 9,726.48 is: 14,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.36 : 14,686.47 = 9,726.48 : x
  2. Step 2: Convert to fraction form
    9,864.36/14,686.47 = 9,726.48/x
  3. Step 3: Cross multiply
    9,864.36x = 14,686.47 × 9,726.48
  4. Step 4: Simplify right side
    9,864.36x = 142,847,656.73
  5. Step 5: Solve for x
    x = 142,847,656.73/9,864.36
  6. Step 6: Final answer
    x = 14,481.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.