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Finding the Fourth Proportional to 12,468.51, 17,206.41 and 6,803.10

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Solution

The fourth proportional to 12,468.51, 17,206.41 and 6,803.10 is: 9,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.51 : 17,206.41 = 6,803.10 : x
  2. Step 2: Convert to fraction form
    12,468.51/17,206.41 = 6,803.10/x
  3. Step 3: Cross multiply
    12,468.51x = 17,206.41 × 6,803.10
  4. Step 4: Simplify right side
    12,468.51x = 117,056,927.87
  5. Step 5: Solve for x
    x = 117,056,927.87/12,468.51
  6. Step 6: Final answer
    x = 9,388.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.