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Finding the Fourth Proportional to 7,039.65, 9,714.05 and 4,206.46

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Solution

The fourth proportional to 7,039.65, 9,714.05 and 4,206.46 is: 5,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.65 : 9,714.05 = 4,206.46 : x
  2. Step 2: Convert to fraction form
    7,039.65/9,714.05 = 4,206.46/x
  3. Step 3: Cross multiply
    7,039.65x = 9,714.05 × 4,206.46
  4. Step 4: Simplify right side
    7,039.65x = 40,861,714.19
  5. Step 5: Solve for x
    x = 40,861,714.19/7,039.65
  6. Step 6: Final answer
    x = 5,804.51

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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.