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Finding the Fourth Proportional to 7,792.08, 11,702.70 and 6,807.93

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Solution

The fourth proportional to 7,792.08, 11,702.70 and 6,807.93 is: 10,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.08 : 11,702.70 = 6,807.93 : x
  2. Step 2: Convert to fraction form
    7,792.08/11,702.70 = 6,807.93/x
  3. Step 3: Cross multiply
    7,792.08x = 11,702.70 × 6,807.93
  4. Step 4: Simplify right side
    7,792.08x = 79,671,162.41
  5. Step 5: Solve for x
    x = 79,671,162.41/7,792.08
  6. Step 6: Final answer
    x = 10,224.63

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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.