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Finding the Fourth Proportional to 7,946.76, 10,927.62 and 6,897

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Solution

The fourth proportional to 7,946.76, 10,927.62 and 6,897 is: 9,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.76 : 10,927.62 = 6,897 : x
  2. Step 2: Convert to fraction form
    7,946.76/10,927.62 = 6,897/x
  3. Step 3: Cross multiply
    7,946.76x = 10,927.62 × 6,897
  4. Step 4: Simplify right side
    7,946.76x = 75,367,795.14
  5. Step 5: Solve for x
    x = 75,367,795.14/7,946.76
  6. Step 6: Final answer
    x = 9,484.09

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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.