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Finding the Fourth Proportional to 5,315.36, 7,970.36 and 1,616.88

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Solution

The fourth proportional to 5,315.36, 7,970.36 and 1,616.88 is: 2,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.36 : 7,970.36 = 1,616.88 : x
  2. Step 2: Convert to fraction form
    5,315.36/7,970.36 = 1,616.88/x
  3. Step 3: Cross multiply
    5,315.36x = 7,970.36 × 1,616.88
  4. Step 4: Simplify right side
    5,315.36x = 12,887,115.68
  5. Step 5: Solve for x
    x = 12,887,115.68/5,315.36
  6. Step 6: Final answer
    x = 2,424.50

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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.