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Finding the Fourth Proportional to 9,047.64, 13,572.32 and 2,807.72

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Solution

The fourth proportional to 9,047.64, 13,572.32 and 2,807.72 is: 4,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.64 : 13,572.32 = 2,807.72 : x
  2. Step 2: Convert to fraction form
    9,047.64/13,572.32 = 2,807.72/x
  3. Step 3: Cross multiply
    9,047.64x = 13,572.32 × 2,807.72
  4. Step 4: Simplify right side
    9,047.64x = 38,107,274.31
  5. Step 5: Solve for x
    x = 38,107,274.31/9,047.64
  6. Step 6: Final answer
    x = 4,211.85

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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.