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Finding the Fourth Proportional to 9,297.77, 12,830.46 and 5,319.32

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Solution

The fourth proportional to 9,297.77, 12,830.46 and 5,319.32 is: 7,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.77 : 12,830.46 = 5,319.32 : x
  2. Step 2: Convert to fraction form
    9,297.77/12,830.46 = 5,319.32/x
  3. Step 3: Cross multiply
    9,297.77x = 12,830.46 × 5,319.32
  4. Step 4: Simplify right side
    9,297.77x = 68,249,258.33
  5. Step 5: Solve for x
    x = 68,249,258.33/9,297.77
  6. Step 6: Final answer
    x = 7,340.39

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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.