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Finding the Fourth Proportional to 7,985.16, 11,019.20 and 4,448.28

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Solution

The fourth proportional to 7,985.16, 11,019.20 and 4,448.28 is: 6,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.16 : 11,019.20 = 4,448.28 : x
  2. Step 2: Convert to fraction form
    7,985.16/11,019.20 = 4,448.28/x
  3. Step 3: Cross multiply
    7,985.16x = 11,019.20 × 4,448.28
  4. Step 4: Simplify right side
    7,985.16x = 49,016,486.98
  5. Step 5: Solve for x
    x = 49,016,486.98/7,985.16
  6. Step 6: Final answer
    x = 6,138.45

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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.