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Finding the Fourth Proportional to 8,263.64, 11,403.12 and 4,726.16

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Solution

The fourth proportional to 8,263.64, 11,403.12 and 4,726.16 is: 6,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.64 : 11,403.12 = 4,726.16 : x
  2. Step 2: Convert to fraction form
    8,263.64/11,403.12 = 4,726.16/x
  3. Step 3: Cross multiply
    8,263.64x = 11,403.12 × 4,726.16
  4. Step 4: Simplify right side
    8,263.64x = 53,892,969.62
  5. Step 5: Solve for x
    x = 53,892,969.62/8,263.64
  6. Step 6: Final answer
    x = 6,521.70

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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.