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Finding the Fourth Proportional to 4,971.35, 7,418.53 and 4,419.11

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Solution

The fourth proportional to 4,971.35, 7,418.53 and 4,419.11 is: 6,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.35 : 7,418.53 = 4,419.11 : x
  2. Step 2: Convert to fraction form
    4,971.35/7,418.53 = 4,419.11/x
  3. Step 3: Cross multiply
    4,971.35x = 7,418.53 × 4,419.11
  4. Step 4: Simplify right side
    4,971.35x = 32,783,300.11
  5. Step 5: Solve for x
    x = 32,783,300.11/4,971.35
  6. Step 6: Final answer
    x = 6,594.45

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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.