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Finding the Fourth Proportional to 4,985.07, 7,477.64 and 1,522.32

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Solution

The fourth proportional to 4,985.07, 7,477.64 and 1,522.32 is: 2,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.07 : 7,477.64 = 1,522.32 : x
  2. Step 2: Convert to fraction form
    4,985.07/7,477.64 = 1,522.32/x
  3. Step 3: Cross multiply
    4,985.07x = 7,477.64 × 1,522.32
  4. Step 4: Simplify right side
    4,985.07x = 11,383,353.31
  5. Step 5: Solve for x
    x = 11,383,353.31/4,985.07
  6. Step 6: Final answer
    x = 2,283.49

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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.