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Finding the Fourth Proportional to 5,931.09, 8,853.18 and 5,230.47

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Solution

The fourth proportional to 5,931.09, 8,853.18 and 5,230.47 is: 7,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.09 : 8,853.18 = 5,230.47 : x
  2. Step 2: Convert to fraction form
    5,931.09/8,853.18 = 5,230.47/x
  3. Step 3: Cross multiply
    5,931.09x = 8,853.18 × 5,230.47
  4. Step 4: Simplify right side
    5,931.09x = 46,306,292.39
  5. Step 5: Solve for x
    x = 46,306,292.39/5,931.09
  6. Step 6: Final answer
    x = 7,807.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.