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Finding the Fourth Proportional to 11,423.58, 15,759.81 and 6,946.58

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Solution

The fourth proportional to 11,423.58, 15,759.81 and 6,946.58 is: 9,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.58 : 15,759.81 = 6,946.58 : x
  2. Step 2: Convert to fraction form
    11,423.58/15,759.81 = 6,946.58/x
  3. Step 3: Cross multiply
    11,423.58x = 15,759.81 × 6,946.58
  4. Step 4: Simplify right side
    11,423.58x = 109,476,702.15
  5. Step 5: Solve for x
    x = 109,476,702.15/11,423.58
  6. Step 6: Final answer
    x = 9,583.40

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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.