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Finding the Fourth Proportional to 10,585.68, 15,878.70 and 4,014.96

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Solution

The fourth proportional to 10,585.68, 15,878.70 and 4,014.96 is: 6,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.68 : 15,878.70 = 4,014.96 : x
  2. Step 2: Convert to fraction form
    10,585.68/15,878.70 = 4,014.96/x
  3. Step 3: Cross multiply
    10,585.68x = 15,878.70 × 4,014.96
  4. Step 4: Simplify right side
    10,585.68x = 63,752,345.35
  5. Step 5: Solve for x
    x = 63,752,345.35/10,585.68
  6. Step 6: Final answer
    x = 6,022.51

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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.