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Finding the Fourth Proportional to 24,365.16, 36,549.05 and 7,726.46

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Solution

The fourth proportional to 24,365.16, 36,549.05 and 7,726.46 is: 11,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.16 : 36,549.05 = 7,726.46 : x
  2. Step 2: Convert to fraction form
    24,365.16/36,549.05 = 7,726.46/x
  3. Step 3: Cross multiply
    24,365.16x = 36,549.05 × 7,726.46
  4. Step 4: Simplify right side
    24,365.16x = 282,394,551.49
  5. Step 5: Solve for x
    x = 282,394,551.49/24,365.16
  6. Step 6: Final answer
    x = 11,590.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.