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Finding the Fourth Proportional to 4,944.90, 7,421.40 and 4,782.90

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Solution

The fourth proportional to 4,944.90, 7,421.40 and 4,782.90 is: 7,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.90 : 7,421.40 = 4,782.90 : x
  2. Step 2: Convert to fraction form
    4,944.90/7,421.40 = 4,782.90/x
  3. Step 3: Cross multiply
    4,944.90x = 7,421.40 × 4,782.90
  4. Step 4: Simplify right side
    4,944.90x = 35,495,814.06
  5. Step 5: Solve for x
    x = 35,495,814.06/4,944.90
  6. Step 6: Final answer
    x = 7,178.27

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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.