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Finding the Fourth Proportional to 10,009.44, 14,940.86 and 8,827.16

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Solution

The fourth proportional to 10,009.44, 14,940.86 and 8,827.16 is: 13,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.44 : 14,940.86 = 8,827.16 : x
  2. Step 2: Convert to fraction form
    10,009.44/14,940.86 = 8,827.16/x
  3. Step 3: Cross multiply
    10,009.44x = 14,940.86 × 8,827.16
  4. Step 4: Simplify right side
    10,009.44x = 131,885,361.76
  5. Step 5: Solve for x
    x = 131,885,361.76/10,009.44
  6. Step 6: Final answer
    x = 13,176.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.