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Finding the Fourth Proportional to 7,497.66, 10,345.42 and 4,310.21

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Solution

The fourth proportional to 7,497.66, 10,345.42 and 4,310.21 is: 5,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.66 : 10,345.42 = 4,310.21 : x
  2. Step 2: Convert to fraction form
    7,497.66/10,345.42 = 4,310.21/x
  3. Step 3: Cross multiply
    7,497.66x = 10,345.42 × 4,310.21
  4. Step 4: Simplify right side
    7,497.66x = 44,590,963.99
  5. Step 5: Solve for x
    x = 44,590,963.99/7,497.66
  6. Step 6: Final answer
    x = 5,947.31

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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.