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Finding the Fourth Proportional to 10,709.16, 14,778.32 and 5,929.29

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Solution

The fourth proportional to 10,709.16, 14,778.32 and 5,929.29 is: 8,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.16 : 14,778.32 = 5,929.29 : x
  2. Step 2: Convert to fraction form
    10,709.16/14,778.32 = 5,929.29/x
  3. Step 3: Cross multiply
    10,709.16x = 14,778.32 × 5,929.29
  4. Step 4: Simplify right side
    10,709.16x = 87,624,944.99
  5. Step 5: Solve for x
    x = 87,624,944.99/10,709.16
  6. Step 6: Final answer
    x = 8,182.24

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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.