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Finding the Fourth Proportional to 9,803.83, 14,702.18 and 5,364.77

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Solution

The fourth proportional to 9,803.83, 14,702.18 and 5,364.77 is: 8,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.83 : 14,702.18 = 5,364.77 : x
  2. Step 2: Convert to fraction form
    9,803.83/14,702.18 = 5,364.77/x
  3. Step 3: Cross multiply
    9,803.83x = 14,702.18 × 5,364.77
  4. Step 4: Simplify right side
    9,803.83x = 78,873,838.05
  5. Step 5: Solve for x
    x = 78,873,838.05/9,803.83
  6. Step 6: Final answer
    x = 8,045.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.