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Finding the Fourth Proportional to 9,330, 12,875.44 and 5,138.16

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Solution

The fourth proportional to 9,330, 12,875.44 and 5,138.16 is: 7,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330 : 12,875.44 = 5,138.16 : x
  2. Step 2: Convert to fraction form
    9,330/12,875.44 = 5,138.16/x
  3. Step 3: Cross multiply
    9,330x = 12,875.44 × 5,138.16
  4. Step 4: Simplify right side
    9,330x = 66,156,070.79
  5. Step 5: Solve for x
    x = 66,156,070.79/9,330
  6. Step 6: Final answer
    x = 7,090.68

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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.