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Finding the Fourth Proportional to 7,896.77, 10,897.67 and 4,360

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Solution

The fourth proportional to 7,896.77, 10,897.67 and 4,360 is: 6,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.77 : 10,897.67 = 4,360 : x
  2. Step 2: Convert to fraction form
    7,896.77/10,897.67 = 4,360/x
  3. Step 3: Cross multiply
    7,896.77x = 10,897.67 × 4,360
  4. Step 4: Simplify right side
    7,896.77x = 47,513,841.20
  5. Step 5: Solve for x
    x = 47,513,841.20/7,896.77
  6. Step 6: Final answer
    x = 6,016.87

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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.