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Finding the Fourth Proportional to 12,580.77, 18,844.28 and 9,585.93

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Solution

The fourth proportional to 12,580.77, 18,844.28 and 9,585.93 is: 14,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.77 : 18,844.28 = 9,585.93 : x
  2. Step 2: Convert to fraction form
    12,580.77/18,844.28 = 9,585.93/x
  3. Step 3: Cross multiply
    12,580.77x = 18,844.28 × 9,585.93
  4. Step 4: Simplify right side
    12,580.77x = 180,639,854.76
  5. Step 5: Solve for x
    x = 180,639,854.76/12,580.77
  6. Step 6: Final answer
    x = 14,358.42

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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.