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Finding the Fourth Proportional to 15,636, 21,577.65 and 8,562.48

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Solution

The fourth proportional to 15,636, 21,577.65 and 8,562.48 is: 11,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636 : 21,577.65 = 8,562.48 : x
  2. Step 2: Convert to fraction form
    15,636/21,577.65 = 8,562.48/x
  3. Step 3: Cross multiply
    15,636x = 21,577.65 × 8,562.48
  4. Step 4: Simplify right side
    15,636x = 184,758,196.57
  5. Step 5: Solve for x
    x = 184,758,196.57/15,636
  6. Step 6: Final answer
    x = 11,816.21

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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.