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Finding the Fourth Proportional to 4,602.82, 6,905.12 and 1,483.64

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Solution

The fourth proportional to 4,602.82, 6,905.12 and 1,483.64 is: 2,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.82 : 6,905.12 = 1,483.64 : x
  2. Step 2: Convert to fraction form
    4,602.82/6,905.12 = 1,483.64/x
  3. Step 3: Cross multiply
    4,602.82x = 6,905.12 × 1,483.64
  4. Step 4: Simplify right side
    4,602.82x = 10,244,712.24
  5. Step 5: Solve for x
    x = 10,244,712.24/4,602.82
  6. Step 6: Final answer
    x = 2,225.75

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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.