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Finding the Fourth Proportional to 12,398.51, 17,108.12 and 7,362.94

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Solution

The fourth proportional to 12,398.51, 17,108.12 and 7,362.94 is: 10,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.51 : 17,108.12 = 7,362.94 : x
  2. Step 2: Convert to fraction form
    12,398.51/17,108.12 = 7,362.94/x
  3. Step 3: Cross multiply
    12,398.51x = 17,108.12 × 7,362.94
  4. Step 4: Simplify right side
    12,398.51x = 125,966,027.37
  5. Step 5: Solve for x
    x = 125,966,027.37/12,398.51
  6. Step 6: Final answer
    x = 10,159.77

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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.