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Finding the Fourth Proportional to 7,794.48, 11,700.90 and 6,152.16

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Solution

The fourth proportional to 7,794.48, 11,700.90 and 6,152.16 is: 9,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.48 : 11,700.90 = 6,152.16 : x
  2. Step 2: Convert to fraction form
    7,794.48/11,700.90 = 6,152.16/x
  3. Step 3: Cross multiply
    7,794.48x = 11,700.90 × 6,152.16
  4. Step 4: Simplify right side
    7,794.48x = 71,985,808.94
  5. Step 5: Solve for x
    x = 71,985,808.94/7,794.48
  6. Step 6: Final answer
    x = 9,235.49

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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.