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Finding the Fourth Proportional to 10,569.68, 14,585.68 and 5,853.68

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Solution

The fourth proportional to 10,569.68, 14,585.68 and 5,853.68 is: 8,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.68 : 14,585.68 = 5,853.68 : x
  2. Step 2: Convert to fraction form
    10,569.68/14,585.68 = 5,853.68/x
  3. Step 3: Cross multiply
    10,569.68x = 14,585.68 × 5,853.68
  4. Step 4: Simplify right side
    10,569.68x = 85,379,903.30
  5. Step 5: Solve for x
    x = 85,379,903.30/10,569.68
  6. Step 6: Final answer
    x = 8,077.81

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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.