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Finding the Fourth Proportional to 9,145.76, 13,718.28 and 6,364.24

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Solution

The fourth proportional to 9,145.76, 13,718.28 and 6,364.24 is: 9,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.76 : 13,718.28 = 6,364.24 : x
  2. Step 2: Convert to fraction form
    9,145.76/13,718.28 = 6,364.24/x
  3. Step 3: Cross multiply
    9,145.76x = 13,718.28 × 6,364.24
  4. Step 4: Simplify right side
    9,145.76x = 87,306,426.31
  5. Step 5: Solve for x
    x = 87,306,426.31/9,145.76
  6. Step 6: Final answer
    x = 9,546.11

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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.