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Finding the Fourth Proportional to 11,492.59, 15,865.82 and 7,735.51

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Solution

The fourth proportional to 11,492.59, 15,865.82 and 7,735.51 is: 10,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.59 : 15,865.82 = 7,735.51 : x
  2. Step 2: Convert to fraction form
    11,492.59/15,865.82 = 7,735.51/x
  3. Step 3: Cross multiply
    11,492.59x = 15,865.82 × 7,735.51
  4. Step 4: Simplify right side
    11,492.59x = 122,730,209.27
  5. Step 5: Solve for x
    x = 122,730,209.27/11,492.59
  6. Step 6: Final answer
    x = 10,679.07

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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.