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Finding the Fourth Proportional to 11,592.08, 15,978.44 and 9,069.84

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Solution

The fourth proportional to 11,592.08, 15,978.44 and 9,069.84 is: 12,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.08 : 15,978.44 = 9,069.84 : x
  2. Step 2: Convert to fraction form
    11,592.08/15,978.44 = 9,069.84/x
  3. Step 3: Cross multiply
    11,592.08x = 15,978.44 × 9,069.84
  4. Step 4: Simplify right side
    11,592.08x = 144,921,894.25
  5. Step 5: Solve for x
    x = 144,921,894.25/11,592.08
  6. Step 6: Final answer
    x = 12,501.80

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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.