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Finding the Fourth Proportional to 9,997.54, 15,006.02 and 4,807.06

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Solution

The fourth proportional to 9,997.54, 15,006.02 and 4,807.06 is: 7,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.54 : 15,006.02 = 4,807.06 : x
  2. Step 2: Convert to fraction form
    9,997.54/15,006.02 = 4,807.06/x
  3. Step 3: Cross multiply
    9,997.54x = 15,006.02 × 4,807.06
  4. Step 4: Simplify right side
    9,997.54x = 72,134,838.50
  5. Step 5: Solve for x
    x = 72,134,838.50/9,997.54
  6. Step 6: Final answer
    x = 7,215.26

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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.