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Finding the Fourth Proportional to 5,798.12, 8,697.02 and 1,415.56

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Solution

The fourth proportional to 5,798.12, 8,697.02 and 1,415.56 is: 2,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.12 : 8,697.02 = 1,415.56 : x
  2. Step 2: Convert to fraction form
    5,798.12/8,697.02 = 1,415.56/x
  3. Step 3: Cross multiply
    5,798.12x = 8,697.02 × 1,415.56
  4. Step 4: Simplify right side
    5,798.12x = 12,311,153.63
  5. Step 5: Solve for x
    x = 12,311,153.63/5,798.12
  6. Step 6: Final answer
    x = 2,123.30

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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.