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Finding the Fourth Proportional to 12,647.17, 17,454.06 and 6,983.01

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Solution

The fourth proportional to 12,647.17, 17,454.06 and 6,983.01 is: 9,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.17 : 17,454.06 = 6,983.01 : x
  2. Step 2: Convert to fraction form
    12,647.17/17,454.06 = 6,983.01/x
  3. Step 3: Cross multiply
    12,647.17x = 17,454.06 × 6,983.01
  4. Step 4: Simplify right side
    12,647.17x = 121,881,875.52
  5. Step 5: Solve for x
    x = 121,881,875.52/12,647.17
  6. Step 6: Final answer
    x = 9,637.09

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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.