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Finding the Fourth Proportional to 7,873.83, 10,866.66 and 5,880.93

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Solution

The fourth proportional to 7,873.83, 10,866.66 and 5,880.93 is: 8,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.83 : 10,866.66 = 5,880.93 : x
  2. Step 2: Convert to fraction form
    7,873.83/10,866.66 = 5,880.93/x
  3. Step 3: Cross multiply
    7,873.83x = 10,866.66 × 5,880.93
  4. Step 4: Simplify right side
    7,873.83x = 63,906,066.79
  5. Step 5: Solve for x
    x = 63,906,066.79/7,873.83
  6. Step 6: Final answer
    x = 8,116.26

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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.