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Finding the Fourth Proportional to 7,666.60, 11,499.90 and 5,311.40

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Solution

The fourth proportional to 7,666.60, 11,499.90 and 5,311.40 is: 7,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.60 : 11,499.90 = 5,311.40 : x
  2. Step 2: Convert to fraction form
    7,666.60/11,499.90 = 5,311.40/x
  3. Step 3: Cross multiply
    7,666.60x = 11,499.90 × 5,311.40
  4. Step 4: Simplify right side
    7,666.60x = 61,080,568.86
  5. Step 5: Solve for x
    x = 61,080,568.86/7,666.60
  6. Step 6: Final answer
    x = 7,967.10

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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.