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Finding the Fourth Proportional to 7,094.92, 9,786.55 and 5,102.32

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Solution

The fourth proportional to 7,094.92, 9,786.55 and 5,102.32 is: 7,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.92 : 9,786.55 = 5,102.32 : x
  2. Step 2: Convert to fraction form
    7,094.92/9,786.55 = 5,102.32/x
  3. Step 3: Cross multiply
    7,094.92x = 9,786.55 × 5,102.32
  4. Step 4: Simplify right side
    7,094.92x = 49,934,109.80
  5. Step 5: Solve for x
    x = 49,934,109.80/7,094.92
  6. Step 6: Final answer
    x = 7,038.01

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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.