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Finding the Fourth Proportional to 9,361.76, 12,920.88 and 5,585.16

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Solution

The fourth proportional to 9,361.76, 12,920.88 and 5,585.16 is: 7,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.76 : 12,920.88 = 5,585.16 : x
  2. Step 2: Convert to fraction form
    9,361.76/12,920.88 = 5,585.16/x
  3. Step 3: Cross multiply
    9,361.76x = 12,920.88 × 5,585.16
  4. Step 4: Simplify right side
    9,361.76x = 72,165,182.14
  5. Step 5: Solve for x
    x = 72,165,182.14/9,361.76
  6. Step 6: Final answer
    x = 7,708.51

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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.