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Finding the Fourth Proportional to 10,413.68, 15,627 and 7,597.58

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Solution

The fourth proportional to 10,413.68, 15,627 and 7,597.58 is: 11,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.68 : 15,627 = 7,597.58 : x
  2. Step 2: Convert to fraction form
    10,413.68/15,627 = 7,597.58/x
  3. Step 3: Cross multiply
    10,413.68x = 15,627 × 7,597.58
  4. Step 4: Simplify right side
    10,413.68x = 118,727,382.66
  5. Step 5: Solve for x
    x = 118,727,382.66/10,413.68
  6. Step 6: Final answer
    x = 11,401.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.