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Finding the Fourth Proportional to 3,670.83, 5,506.12 and 897.51

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Solution

The fourth proportional to 3,670.83, 5,506.12 and 897.51 is: 1,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.83 : 5,506.12 = 897.51 : x
  2. Step 2: Convert to fraction form
    3,670.83/5,506.12 = 897.51/x
  3. Step 3: Cross multiply
    3,670.83x = 5,506.12 × 897.51
  4. Step 4: Simplify right side
    3,670.83x = 4,941,797.76
  5. Step 5: Solve for x
    x = 4,941,797.76/3,670.83
  6. Step 6: Final answer
    x = 1,346.23

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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.