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Finding the Fourth Proportional to 4,333.56, 6,500.07 and 1,411.62

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Solution

The fourth proportional to 4,333.56, 6,500.07 and 1,411.62 is: 2,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.56 : 6,500.07 = 1,411.62 : x
  2. Step 2: Convert to fraction form
    4,333.56/6,500.07 = 1,411.62/x
  3. Step 3: Cross multiply
    4,333.56x = 6,500.07 × 1,411.62
  4. Step 4: Simplify right side
    4,333.56x = 9,175,628.81
  5. Step 5: Solve for x
    x = 9,175,628.81/4,333.56
  6. Step 6: Final answer
    x = 2,117.34

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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.