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Finding the Fourth Proportional to 9,648.51, 14,494.95 and 6,844.28

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Solution

The fourth proportional to 9,648.51, 14,494.95 and 6,844.28 is: 10,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.51 : 14,494.95 = 6,844.28 : x
  2. Step 2: Convert to fraction form
    9,648.51/14,494.95 = 6,844.28/x
  3. Step 3: Cross multiply
    9,648.51x = 14,494.95 × 6,844.28
  4. Step 4: Simplify right side
    9,648.51x = 99,207,496.39
  5. Step 5: Solve for x
    x = 99,207,496.39/9,648.51
  6. Step 6: Final answer
    x = 10,282.16

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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.