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Finding the Fourth Proportional to 7,784.91, 10,743.03 and 4,248.45

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Solution

The fourth proportional to 7,784.91, 10,743.03 and 4,248.45 is: 5,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.91 : 10,743.03 = 4,248.45 : x
  2. Step 2: Convert to fraction form
    7,784.91/10,743.03 = 4,248.45/x
  3. Step 3: Cross multiply
    7,784.91x = 10,743.03 × 4,248.45
  4. Step 4: Simplify right side
    7,784.91x = 45,641,225.80
  5. Step 5: Solve for x
    x = 45,641,225.80/7,784.91
  6. Step 6: Final answer
    x = 5,862.78

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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.