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Finding the Fourth Proportional to 7,152.49, 9,848.73 and 6,344.20

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Solution

The fourth proportional to 7,152.49, 9,848.73 and 6,344.20 is: 8,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.49 : 9,848.73 = 6,344.20 : x
  2. Step 2: Convert to fraction form
    7,152.49/9,848.73 = 6,344.20/x
  3. Step 3: Cross multiply
    7,152.49x = 9,848.73 × 6,344.20
  4. Step 4: Simplify right side
    7,152.49x = 62,482,312.87
  5. Step 5: Solve for x
    x = 62,482,312.87/7,152.49
  6. Step 6: Final answer
    x = 8,735.74

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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.