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Finding the Fourth Proportional to 7,093.63, 9,781.95 and 4,702.77

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Solution

The fourth proportional to 7,093.63, 9,781.95 and 4,702.77 is: 6,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.63 : 9,781.95 = 4,702.77 : x
  2. Step 2: Convert to fraction form
    7,093.63/9,781.95 = 4,702.77/x
  3. Step 3: Cross multiply
    7,093.63x = 9,781.95 × 4,702.77
  4. Step 4: Simplify right side
    7,093.63x = 46,002,261.00
  5. Step 5: Solve for x
    x = 46,002,261.00/7,093.63
  6. Step 6: Final answer
    x = 6,485.01

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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.