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Finding the Fourth Proportional to 5,798.98, 8,698.48 and 1,416.44

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Solution

The fourth proportional to 5,798.98, 8,698.48 and 1,416.44 is: 2,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.98 : 8,698.48 = 1,416.44 : x
  2. Step 2: Convert to fraction form
    5,798.98/8,698.48 = 1,416.44/x
  3. Step 3: Cross multiply
    5,798.98x = 8,698.48 × 1,416.44
  4. Step 4: Simplify right side
    5,798.98x = 12,320,875.01
  5. Step 5: Solve for x
    x = 12,320,875.01/5,798.98
  6. Step 6: Final answer
    x = 2,124.66

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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.