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Finding the Fourth Proportional to 12,356.23, 17,058.96 and 7,646.89

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Solution

The fourth proportional to 12,356.23, 17,058.96 and 7,646.89 is: 10,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.23 : 17,058.96 = 7,646.89 : x
  2. Step 2: Convert to fraction form
    12,356.23/17,058.96 = 7,646.89/x
  3. Step 3: Cross multiply
    12,356.23x = 17,058.96 × 7,646.89
  4. Step 4: Simplify right side
    12,356.23x = 130,447,952.40
  5. Step 5: Solve for x
    x = 130,447,952.40/12,356.23
  6. Step 6: Final answer
    x = 10,557.26

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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.