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Finding the Fourth Proportional to 5,509.67, 8,264.98 and 1,560.97

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Solution

The fourth proportional to 5,509.67, 8,264.98 and 1,560.97 is: 2,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.67 : 8,264.98 = 1,560.97 : x
  2. Step 2: Convert to fraction form
    5,509.67/8,264.98 = 1,560.97/x
  3. Step 3: Cross multiply
    5,509.67x = 8,264.98 × 1,560.97
  4. Step 4: Simplify right side
    5,509.67x = 12,901,344.51
  5. Step 5: Solve for x
    x = 12,901,344.51/5,509.67
  6. Step 6: Final answer
    x = 2,341.58

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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.