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Finding the Fourth Proportional to 8,657.01, 11,946.67 and 4,678.12

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Solution

The fourth proportional to 8,657.01, 11,946.67 and 4,678.12 is: 6,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.01 : 11,946.67 = 4,678.12 : x
  2. Step 2: Convert to fraction form
    8,657.01/11,946.67 = 4,678.12/x
  3. Step 3: Cross multiply
    8,657.01x = 11,946.67 × 4,678.12
  4. Step 4: Simplify right side
    8,657.01x = 55,887,896.13
  5. Step 5: Solve for x
    x = 55,887,896.13/8,657.01
  6. Step 6: Final answer
    x = 6,455.80

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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.