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Finding the Fourth Proportional to 7,108.65, 10,662.66 and 2,429.07

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Solution

The fourth proportional to 7,108.65, 10,662.66 and 2,429.07 is: 3,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.65 : 10,662.66 = 2,429.07 : x
  2. Step 2: Convert to fraction form
    7,108.65/10,662.66 = 2,429.07/x
  3. Step 3: Cross multiply
    7,108.65x = 10,662.66 × 2,429.07
  4. Step 4: Simplify right side
    7,108.65x = 25,900,347.53
  5. Step 5: Solve for x
    x = 25,900,347.53/7,108.65
  6. Step 6: Final answer
    x = 3,643.50

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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.