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Finding the Fourth Proportional to 10,612.44, 14,645.14 and 6,365.94

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Solution

The fourth proportional to 10,612.44, 14,645.14 and 6,365.94 is: 8,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.44 : 14,645.14 = 6,365.94 : x
  2. Step 2: Convert to fraction form
    10,612.44/14,645.14 = 6,365.94/x
  3. Step 3: Cross multiply
    10,612.44x = 14,645.14 × 6,365.94
  4. Step 4: Simplify right side
    10,612.44x = 93,230,082.53
  5. Step 5: Solve for x
    x = 93,230,082.53/10,612.44
  6. Step 6: Final answer
    x = 8,784.98

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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.