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Finding the Fourth Proportional to 4,307.43, 6,417.83 and 4,024.49

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Solution

The fourth proportional to 4,307.43, 6,417.83 and 4,024.49 is: 5,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.43 : 6,417.83 = 4,024.49 : x
  2. Step 2: Convert to fraction form
    4,307.43/6,417.83 = 4,024.49/x
  3. Step 3: Cross multiply
    4,307.43x = 6,417.83 × 4,024.49
  4. Step 4: Simplify right side
    4,307.43x = 25,828,440.45
  5. Step 5: Solve for x
    x = 25,828,440.45/4,307.43
  6. Step 6: Final answer
    x = 5,996.25

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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.