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Finding the Fourth Proportional to 9,585.44, 14,378.08 and 3,746.12

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Solution

The fourth proportional to 9,585.44, 14,378.08 and 3,746.12 is: 5,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.44 : 14,378.08 = 3,746.12 : x
  2. Step 2: Convert to fraction form
    9,585.44/14,378.08 = 3,746.12/x
  3. Step 3: Cross multiply
    9,585.44x = 14,378.08 × 3,746.12
  4. Step 4: Simplify right side
    9,585.44x = 53,862,013.05
  5. Step 5: Solve for x
    x = 53,862,013.05/9,585.44
  6. Step 6: Final answer
    x = 5,619.15

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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.