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Finding the Fourth Proportional to 11,590.08, 15,984.56 and 7,608.08

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Solution

The fourth proportional to 11,590.08, 15,984.56 and 7,608.08 is: 10,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.08 : 15,984.56 = 7,608.08 : x
  2. Step 2: Convert to fraction form
    11,590.08/15,984.56 = 7,608.08/x
  3. Step 3: Cross multiply
    11,590.08x = 15,984.56 × 7,608.08
  4. Step 4: Simplify right side
    11,590.08x = 121,611,811.24
  5. Step 5: Solve for x
    x = 121,611,811.24/11,590.08
  6. Step 6: Final answer
    x = 10,492.75

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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.