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Finding the Fourth Proportional to 4,833.86, 7,250.81 and 1,547.22

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Solution

The fourth proportional to 4,833.86, 7,250.81 and 1,547.22 is: 2,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.86 : 7,250.81 = 1,547.22 : x
  2. Step 2: Convert to fraction form
    4,833.86/7,250.81 = 1,547.22/x
  3. Step 3: Cross multiply
    4,833.86x = 7,250.81 × 1,547.22
  4. Step 4: Simplify right side
    4,833.86x = 11,218,590.51
  5. Step 5: Solve for x
    x = 11,218,590.51/4,833.86
  6. Step 6: Final answer
    x = 2,320.83

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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.