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Finding the Fourth Proportional to 7,497.59, 10,347 and 4,311.92

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Solution

The fourth proportional to 7,497.59, 10,347 and 4,311.92 is: 5,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.59 : 10,347 = 4,311.92 : x
  2. Step 2: Convert to fraction form
    7,497.59/10,347 = 4,311.92/x
  3. Step 3: Cross multiply
    7,497.59x = 10,347 × 4,311.92
  4. Step 4: Simplify right side
    7,497.59x = 44,615,384.51
  5. Step 5: Solve for x
    x = 44,615,384.51/7,497.59
  6. Step 6: Final answer
    x = 5,950.63

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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.