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Finding the Fourth Proportional to 5,798.48, 8,697.72 and 1,415.94

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Solution

The fourth proportional to 5,798.48, 8,697.72 and 1,415.94 is: 2,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.48 : 8,697.72 = 1,415.94 : x
  2. Step 2: Convert to fraction form
    5,798.48/8,697.72 = 1,415.94/x
  3. Step 3: Cross multiply
    5,798.48x = 8,697.72 × 1,415.94
  4. Step 4: Simplify right side
    5,798.48x = 12,315,449.66
  5. Step 5: Solve for x
    x = 12,315,449.66/5,798.48
  6. Step 6: Final answer
    x = 2,123.91

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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.