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Finding the Fourth Proportional to 9,594.32, 14,335.46 and 7,084.88

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Solution

The fourth proportional to 9,594.32, 14,335.46 and 7,084.88 is: 10,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.32 : 14,335.46 = 7,084.88 : x
  2. Step 2: Convert to fraction form
    9,594.32/14,335.46 = 7,084.88/x
  3. Step 3: Cross multiply
    9,594.32x = 14,335.46 × 7,084.88
  4. Step 4: Simplify right side
    9,594.32x = 101,565,013.84
  5. Step 5: Solve for x
    x = 101,565,013.84/9,594.32
  6. Step 6: Final answer
    x = 10,585.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.