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Finding the Fourth Proportional to 10,375.20, 14,323 and 6,602.16

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Solution

The fourth proportional to 10,375.20, 14,323 and 6,602.16 is: 9,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.20 : 14,323 = 6,602.16 : x
  2. Step 2: Convert to fraction form
    10,375.20/14,323 = 6,602.16/x
  3. Step 3: Cross multiply
    10,375.20x = 14,323 × 6,602.16
  4. Step 4: Simplify right side
    10,375.20x = 94,562,737.68
  5. Step 5: Solve for x
    x = 94,562,737.68/10,375.20
  6. Step 6: Final answer
    x = 9,114.31

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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.