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Finding the Fourth Proportional to 9,203.81, 12,697.49 and 6,410.93

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Solution

The fourth proportional to 9,203.81, 12,697.49 and 6,410.93 is: 8,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.81 : 12,697.49 = 6,410.93 : x
  2. Step 2: Convert to fraction form
    9,203.81/12,697.49 = 6,410.93/x
  3. Step 3: Cross multiply
    9,203.81x = 12,697.49 × 6,410.93
  4. Step 4: Simplify right side
    9,203.81x = 81,402,672.11
  5. Step 5: Solve for x
    x = 81,402,672.11/9,203.81
  6. Step 6: Final answer
    x = 8,844.46

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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.