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Finding the Fourth Proportional to 5,283.09, 7,924.65 and 1,585.71

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Solution

The fourth proportional to 5,283.09, 7,924.65 and 1,585.71 is: 2,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.09 : 7,924.65 = 1,585.71 : x
  2. Step 2: Convert to fraction form
    5,283.09/7,924.65 = 1,585.71/x
  3. Step 3: Cross multiply
    5,283.09x = 7,924.65 × 1,585.71
  4. Step 4: Simplify right side
    5,283.09x = 12,566,196.75
  5. Step 5: Solve for x
    x = 12,566,196.75/5,283.09
  6. Step 6: Final answer
    x = 2,378.57

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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.