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Finding the Fourth Proportional to 10,585.81, 14,608.81 and 5,805.46

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Solution

The fourth proportional to 10,585.81, 14,608.81 and 5,805.46 is: 8,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.81 : 14,608.81 = 5,805.46 : x
  2. Step 2: Convert to fraction form
    10,585.81/14,608.81 = 5,805.46/x
  3. Step 3: Cross multiply
    10,585.81x = 14,608.81 × 5,805.46
  4. Step 4: Simplify right side
    10,585.81x = 84,810,772.79
  5. Step 5: Solve for x
    x = 84,810,772.79/10,585.81
  6. Step 6: Final answer
    x = 8,011.74

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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.