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Finding the Fourth Proportional to 11,762.32, 16,232.07 and 6,457.18

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Solution

The fourth proportional to 11,762.32, 16,232.07 and 6,457.18 is: 8,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.32 : 16,232.07 = 6,457.18 : x
  2. Step 2: Convert to fraction form
    11,762.32/16,232.07 = 6,457.18/x
  3. Step 3: Cross multiply
    11,762.32x = 16,232.07 × 6,457.18
  4. Step 4: Simplify right side
    11,762.32x = 104,813,397.76
  5. Step 5: Solve for x
    x = 104,813,397.76/11,762.32
  6. Step 6: Final answer
    x = 8,910.95

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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.