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Finding the Fourth Proportional to 9,902.56, 14,852.28 and 2,975.44

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Solution

The fourth proportional to 9,902.56, 14,852.28 and 2,975.44 is: 4,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.56 : 14,852.28 = 2,975.44 : x
  2. Step 2: Convert to fraction form
    9,902.56/14,852.28 = 2,975.44/x
  3. Step 3: Cross multiply
    9,902.56x = 14,852.28 × 2,975.44
  4. Step 4: Simplify right side
    9,902.56x = 44,192,068.00
  5. Step 5: Solve for x
    x = 44,192,068.00/9,902.56
  6. Step 6: Final answer
    x = 4,462.69

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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.