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Finding the Fourth Proportional to 5,898.47, 8,148.14 and 5,366.40

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Solution

The fourth proportional to 5,898.47, 8,148.14 and 5,366.40 is: 7,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.47 : 8,148.14 = 5,366.40 : x
  2. Step 2: Convert to fraction form
    5,898.47/8,148.14 = 5,366.40/x
  3. Step 3: Cross multiply
    5,898.47x = 8,148.14 × 5,366.40
  4. Step 4: Simplify right side
    5,898.47x = 43,726,151.66
  5. Step 5: Solve for x
    x = 43,726,151.66/5,898.47
  6. Step 6: Final answer
    x = 7,413.14

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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.