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Finding the Fourth Proportional to 8,542.64, 12,814.72 and 2,303.60

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Solution

The fourth proportional to 8,542.64, 12,814.72 and 2,303.60 is: 3,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.64 : 12,814.72 = 2,303.60 : x
  2. Step 2: Convert to fraction form
    8,542.64/12,814.72 = 2,303.60/x
  3. Step 3: Cross multiply
    8,542.64x = 12,814.72 × 2,303.60
  4. Step 4: Simplify right side
    8,542.64x = 29,519,988.99
  5. Step 5: Solve for x
    x = 29,519,988.99/8,542.64
  6. Step 6: Final answer
    x = 3,455.60

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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.