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Finding the Fourth Proportional to 27,124.66, 40,689.42 and 9,594.64

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Solution

The fourth proportional to 27,124.66, 40,689.42 and 9,594.64 is: 14,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124.66 : 40,689.42 = 9,594.64 : x
  2. Step 2: Convert to fraction form
    27,124.66/40,689.42 = 9,594.64/x
  3. Step 3: Cross multiply
    27,124.66x = 40,689.42 × 9,594.64
  4. Step 4: Simplify right side
    27,124.66x = 390,400,336.71
  5. Step 5: Solve for x
    x = 390,400,336.71/27,124.66
  6. Step 6: Final answer
    x = 14,392.82

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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.