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Finding the Fourth Proportional to 5,798.32, 8,697.48 and 1,415.74

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Solution

The fourth proportional to 5,798.32, 8,697.48 and 1,415.74 is: 2,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.32 : 8,697.48 = 1,415.74 : x
  2. Step 2: Convert to fraction form
    5,798.32/8,697.48 = 1,415.74/x
  3. Step 3: Cross multiply
    5,798.32x = 8,697.48 × 1,415.74
  4. Step 4: Simplify right side
    5,798.32x = 12,313,370.34
  5. Step 5: Solve for x
    x = 12,313,370.34/5,798.32
  6. Step 6: Final answer
    x = 2,123.61

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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.