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Finding the Fourth Proportional to 10,573.88, 14,593.64 and 6,384.56

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Solution

The fourth proportional to 10,573.88, 14,593.64 and 6,384.56 is: 8,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.88 : 14,593.64 = 6,384.56 : x
  2. Step 2: Convert to fraction form
    10,573.88/14,593.64 = 6,384.56/x
  3. Step 3: Cross multiply
    10,573.88x = 14,593.64 × 6,384.56
  4. Step 4: Simplify right side
    10,573.88x = 93,173,865.31
  5. Step 5: Solve for x
    x = 93,173,865.31/10,573.88
  6. Step 6: Final answer
    x = 8,811.70

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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.