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Finding the Fourth Proportional to 7,267.64, 10,905.40 and 5,627.40

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Solution

The fourth proportional to 7,267.64, 10,905.40 and 5,627.40 is: 8,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.64 : 10,905.40 = 5,627.40 : x
  2. Step 2: Convert to fraction form
    7,267.64/10,905.40 = 5,627.40/x
  3. Step 3: Cross multiply
    7,267.64x = 10,905.40 × 5,627.40
  4. Step 4: Simplify right side
    7,267.64x = 61,369,047.96
  5. Step 5: Solve for x
    x = 61,369,047.96/7,267.64
  6. Step 6: Final answer
    x = 8,444.15

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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.