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Finding the Fourth Proportional to 8,697.10, 12,982.64 and 7,646.16

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Solution

The fourth proportional to 8,697.10, 12,982.64 and 7,646.16 is: 11,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.10 : 12,982.64 = 7,646.16 : x
  2. Step 2: Convert to fraction form
    8,697.10/12,982.64 = 7,646.16/x
  3. Step 3: Cross multiply
    8,697.10x = 12,982.64 × 7,646.16
  4. Step 4: Simplify right side
    8,697.10x = 99,267,342.66
  5. Step 5: Solve for x
    x = 99,267,342.66/8,697.10
  6. Step 6: Final answer
    x = 11,413.84

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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.