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Finding the Fourth Proportional to 4,717.34, 6,510.06 and 2,829.23

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Solution

The fourth proportional to 4,717.34, 6,510.06 and 2,829.23 is: 3,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.34 : 6,510.06 = 2,829.23 : x
  2. Step 2: Convert to fraction form
    4,717.34/6,510.06 = 2,829.23/x
  3. Step 3: Cross multiply
    4,717.34x = 6,510.06 × 2,829.23
  4. Step 4: Simplify right side
    4,717.34x = 18,418,410.36
  5. Step 5: Solve for x
    x = 18,418,410.36/4,717.34
  6. Step 6: Final answer
    x = 3,904.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.