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Finding the Fourth Proportional to 9,844.36, 14,656.73 and 9,706.48

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Solution

The fourth proportional to 9,844.36, 14,656.73 and 9,706.48 is: 14,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.36 : 14,656.73 = 9,706.48 : x
  2. Step 2: Convert to fraction form
    9,844.36/14,656.73 = 9,706.48/x
  3. Step 3: Cross multiply
    9,844.36x = 14,656.73 × 9,706.48
  4. Step 4: Simplify right side
    9,844.36x = 142,265,256.61
  5. Step 5: Solve for x
    x = 142,265,256.61/9,844.36
  6. Step 6: Final answer
    x = 14,451.45

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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.