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Finding the Fourth Proportional to 4,564.42, 6,814.21 and 4,402.42

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Solution

The fourth proportional to 4,564.42, 6,814.21 and 4,402.42 is: 6,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.42 : 6,814.21 = 4,402.42 : x
  2. Step 2: Convert to fraction form
    4,564.42/6,814.21 = 4,402.42/x
  3. Step 3: Cross multiply
    4,564.42x = 6,814.21 × 4,402.42
  4. Step 4: Simplify right side
    4,564.42x = 29,999,014.39
  5. Step 5: Solve for x
    x = 29,999,014.39/4,564.42
  6. Step 6: Final answer
    x = 6,572.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.