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Finding the Fourth Proportional to 10,185.44, 15,254.46 and 9,905.16

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Solution

The fourth proportional to 10,185.44, 15,254.46 and 9,905.16 is: 14,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.44 : 15,254.46 = 9,905.16 : x
  2. Step 2: Convert to fraction form
    10,185.44/15,254.46 = 9,905.16/x
  3. Step 3: Cross multiply
    10,185.44x = 15,254.46 × 9,905.16
  4. Step 4: Simplify right side
    10,185.44x = 151,097,867.01
  5. Step 5: Solve for x
    x = 151,097,867.01/10,185.44
  6. Step 6: Final answer
    x = 14,834.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.