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Finding the Fourth Proportional to 10,569.64, 14,585.88 and 5,853.64

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Solution

The fourth proportional to 10,569.64, 14,585.88 and 5,853.64 is: 8,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.64 : 14,585.88 = 5,853.64 : x
  2. Step 2: Convert to fraction form
    10,569.64/14,585.88 = 5,853.64/x
  3. Step 3: Cross multiply
    10,569.64x = 14,585.88 × 5,853.64
  4. Step 4: Simplify right side
    10,569.64x = 85,380,490.60
  5. Step 5: Solve for x
    x = 85,380,490.60/10,569.64
  6. Step 6: Final answer
    x = 8,077.90

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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.