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Finding the Fourth Proportional to 9,753.74, 14,600.28 and 5,300.28

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Solution

The fourth proportional to 9,753.74, 14,600.28 and 5,300.28 is: 7,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.74 : 14,600.28 = 5,300.28 : x
  2. Step 2: Convert to fraction form
    9,753.74/14,600.28 = 5,300.28/x
  3. Step 3: Cross multiply
    9,753.74x = 14,600.28 × 5,300.28
  4. Step 4: Simplify right side
    9,753.74x = 77,385,572.08
  5. Step 5: Solve for x
    x = 77,385,572.08/9,753.74
  6. Step 6: Final answer
    x = 7,933.94

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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.