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Finding the Fourth Proportional to 10,852.37, 14,978.19 and 6,376.12

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Solution

The fourth proportional to 10,852.37, 14,978.19 and 6,376.12 is: 8,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.37 : 14,978.19 = 6,376.12 : x
  2. Step 2: Convert to fraction form
    10,852.37/14,978.19 = 6,376.12/x
  3. Step 3: Cross multiply
    10,852.37x = 14,978.19 × 6,376.12
  4. Step 4: Simplify right side
    10,852.37x = 95,502,790.21
  5. Step 5: Solve for x
    x = 95,502,790.21/10,852.37
  6. Step 6: Final answer
    x = 8,800.18

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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.