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Finding the Fourth Proportional to 7,984.94, 11,019.10 and 4,448.16

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Solution

The fourth proportional to 7,984.94, 11,019.10 and 4,448.16 is: 6,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.94 : 11,019.10 = 4,448.16 : x
  2. Step 2: Convert to fraction form
    7,984.94/11,019.10 = 4,448.16/x
  3. Step 3: Cross multiply
    7,984.94x = 11,019.10 × 4,448.16
  4. Step 4: Simplify right side
    7,984.94x = 49,014,719.86
  5. Step 5: Solve for x
    x = 49,014,719.86/7,984.94
  6. Step 6: Final answer
    x = 6,138.40

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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.