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Finding the Fourth Proportional to 4,770.64, 7,156.29 and 1,483.30

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Solution

The fourth proportional to 4,770.64, 7,156.29 and 1,483.30 is: 2,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.64 : 7,156.29 = 1,483.30 : x
  2. Step 2: Convert to fraction form
    4,770.64/7,156.29 = 1,483.30/x
  3. Step 3: Cross multiply
    4,770.64x = 7,156.29 × 1,483.30
  4. Step 4: Simplify right side
    4,770.64x = 10,614,924.96
  5. Step 5: Solve for x
    x = 10,614,924.96/4,770.64
  6. Step 6: Final answer
    x = 2,225.05

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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.