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Finding the Fourth Proportional to 7,859.07, 11,784.87 and 4,573.08

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Solution

The fourth proportional to 7,859.07, 11,784.87 and 4,573.08 is: 6,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.07 : 11,784.87 = 4,573.08 : x
  2. Step 2: Convert to fraction form
    7,859.07/11,784.87 = 4,573.08/x
  3. Step 3: Cross multiply
    7,859.07x = 11,784.87 × 4,573.08
  4. Step 4: Simplify right side
    7,859.07x = 53,893,153.30
  5. Step 5: Solve for x
    x = 53,893,153.30/7,859.07
  6. Step 6: Final answer
    x = 6,857.45

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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.