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Finding the Fourth Proportional to 9,716.73, 13,413.15 and 6,574.74

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Solution

The fourth proportional to 9,716.73, 13,413.15 and 6,574.74 is: 9,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.73 : 13,413.15 = 6,574.74 : x
  2. Step 2: Convert to fraction form
    9,716.73/13,413.15 = 6,574.74/x
  3. Step 3: Cross multiply
    9,716.73x = 13,413.15 × 6,574.74
  4. Step 4: Simplify right side
    9,716.73x = 88,187,973.83
  5. Step 5: Solve for x
    x = 88,187,973.83/9,716.73
  6. Step 6: Final answer
    x = 9,075.89

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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.