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Finding the Fourth Proportional to 9,297.09, 12,830.08 and 5,048.19

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Solution

The fourth proportional to 9,297.09, 12,830.08 and 5,048.19 is: 6,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.09 : 12,830.08 = 5,048.19 : x
  2. Step 2: Convert to fraction form
    9,297.09/12,830.08 = 5,048.19/x
  3. Step 3: Cross multiply
    9,297.09x = 12,830.08 × 5,048.19
  4. Step 4: Simplify right side
    9,297.09x = 64,768,681.56
  5. Step 5: Solve for x
    x = 64,768,681.56/9,297.09
  6. Step 6: Final answer
    x = 6,966.55

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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.