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Finding the Fourth Proportional to 7,953.80, 10,976.76 and 4,417

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Solution

The fourth proportional to 7,953.80, 10,976.76 and 4,417 is: 6,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.80 : 10,976.76 = 4,417 : x
  2. Step 2: Convert to fraction form
    7,953.80/10,976.76 = 4,417/x
  3. Step 3: Cross multiply
    7,953.80x = 10,976.76 × 4,417
  4. Step 4: Simplify right side
    7,953.80x = 48,484,348.92
  5. Step 5: Solve for x
    x = 48,484,348.92/7,953.80
  6. Step 6: Final answer
    x = 6,095.75

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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.