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Finding the Fourth Proportional to 9,293.57, 12,825.80 and 5,314.58

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Solution

The fourth proportional to 9,293.57, 12,825.80 and 5,314.58 is: 7,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.57 : 12,825.80 = 5,314.58 : x
  2. Step 2: Convert to fraction form
    9,293.57/12,825.80 = 5,314.58/x
  3. Step 3: Cross multiply
    9,293.57x = 12,825.80 × 5,314.58
  4. Step 4: Simplify right side
    9,293.57x = 68,163,740.16
  5. Step 5: Solve for x
    x = 68,163,740.16/9,293.57
  6. Step 6: Final answer
    x = 7,334.51

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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.