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Finding the Fourth Proportional to 10,029.76, 13,840.76 and 5,492.26

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Solution

The fourth proportional to 10,029.76, 13,840.76 and 5,492.26 is: 7,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.76 : 13,840.76 = 5,492.26 : x
  2. Step 2: Convert to fraction form
    10,029.76/13,840.76 = 5,492.26/x
  3. Step 3: Cross multiply
    10,029.76x = 13,840.76 × 5,492.26
  4. Step 4: Simplify right side
    10,029.76x = 76,017,052.52
  5. Step 5: Solve for x
    x = 76,017,052.52/10,029.76
  6. Step 6: Final answer
    x = 7,579.15

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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.