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Finding the Fourth Proportional to 7,051.57, 10,575.19 and 1,856.77

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Solution

The fourth proportional to 7,051.57, 10,575.19 and 1,856.77 is: 2,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.57 : 10,575.19 = 1,856.77 : x
  2. Step 2: Convert to fraction form
    7,051.57/10,575.19 = 1,856.77/x
  3. Step 3: Cross multiply
    7,051.57x = 10,575.19 × 1,856.77
  4. Step 4: Simplify right side
    7,051.57x = 19,635,695.54
  5. Step 5: Solve for x
    x = 19,635,695.54/7,051.57
  6. Step 6: Final answer
    x = 2,784.58

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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.