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Finding the Fourth Proportional to 6,182.88, 9,300.24 and 5,146.08

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Solution

The fourth proportional to 6,182.88, 9,300.24 and 5,146.08 is: 7,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.88 : 9,300.24 = 5,146.08 : x
  2. Step 2: Convert to fraction form
    6,182.88/9,300.24 = 5,146.08/x
  3. Step 3: Cross multiply
    6,182.88x = 9,300.24 × 5,146.08
  4. Step 4: Simplify right side
    6,182.88x = 47,859,779.06
  5. Step 5: Solve for x
    x = 47,859,779.06/6,182.88
  6. Step 6: Final answer
    x = 7,740.69

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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.