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Finding the Fourth Proportional to 10,705.60, 14,773.60 and 5,989.92

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Solution

The fourth proportional to 10,705.60, 14,773.60 and 5,989.92 is: 8,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.60 : 14,773.60 = 5,989.92 : x
  2. Step 2: Convert to fraction form
    10,705.60/14,773.60 = 5,989.92/x
  3. Step 3: Cross multiply
    10,705.60x = 14,773.60 × 5,989.92
  4. Step 4: Simplify right side
    10,705.60x = 88,492,682.11
  5. Step 5: Solve for x
    x = 88,492,682.11/10,705.60
  6. Step 6: Final answer
    x = 8,266.02

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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.