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Finding the Fourth Proportional to 11,294.92, 15,587.12 and 6,259.22

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Solution

The fourth proportional to 11,294.92, 15,587.12 and 6,259.22 is: 8,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.92 : 15,587.12 = 6,259.22 : x
  2. Step 2: Convert to fraction form
    11,294.92/15,587.12 = 6,259.22/x
  3. Step 3: Cross multiply
    11,294.92x = 15,587.12 × 6,259.22
  4. Step 4: Simplify right side
    11,294.92x = 97,563,297.09
  5. Step 5: Solve for x
    x = 97,563,297.09/11,294.92
  6. Step 6: Final answer
    x = 8,637.80

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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.