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Finding the Fourth Proportional to 7,798.32, 10,754.10 and 6,305.22

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Solution

The fourth proportional to 7,798.32, 10,754.10 and 6,305.22 is: 8,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.32 : 10,754.10 = 6,305.22 : x
  2. Step 2: Convert to fraction form
    7,798.32/10,754.10 = 6,305.22/x
  3. Step 3: Cross multiply
    7,798.32x = 10,754.10 × 6,305.22
  4. Step 4: Simplify right side
    7,798.32x = 67,806,966.40
  5. Step 5: Solve for x
    x = 67,806,966.40/7,798.32
  6. Step 6: Final answer
    x = 8,695.07

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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.