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Finding the Fourth Proportional to 6,946.56, 9,586.56 and 4,152

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Solution

The fourth proportional to 6,946.56, 9,586.56 and 4,152 is: 5,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.56 : 9,586.56 = 4,152 : x
  2. Step 2: Convert to fraction form
    6,946.56/9,586.56 = 4,152/x
  3. Step 3: Cross multiply
    6,946.56x = 9,586.56 × 4,152
  4. Step 4: Simplify right side
    6,946.56x = 39,803,397.12
  5. Step 5: Solve for x
    x = 39,803,397.12/6,946.56
  6. Step 6: Final answer
    x = 5,729.94

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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.