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Finding the Fourth Proportional to 4,717.65, 6,510.72 and 2,829.30

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Solution

The fourth proportional to 4,717.65, 6,510.72 and 2,829.30 is: 3,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.65 : 6,510.72 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    4,717.65/6,510.72 = 2,829.30/x
  3. Step 3: Cross multiply
    4,717.65x = 6,510.72 × 2,829.30
  4. Step 4: Simplify right side
    4,717.65x = 18,420,804.51
  5. Step 5: Solve for x
    x = 18,420,804.51/4,717.65
  6. Step 6: Final answer
    x = 3,904.66

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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.