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Finding the Fourth Proportional to 3,670.33, 5,505.47 and 897.01

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Solution

The fourth proportional to 3,670.33, 5,505.47 and 897.01 is: 1,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.33 : 5,505.47 = 897.01 : x
  2. Step 2: Convert to fraction form
    3,670.33/5,505.47 = 897.01/x
  3. Step 3: Cross multiply
    3,670.33x = 5,505.47 × 897.01
  4. Step 4: Simplify right side
    3,670.33x = 4,938,482.77
  5. Step 5: Solve for x
    x = 4,938,482.77/3,670.33
  6. Step 6: Final answer
    x = 1,345.51

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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.