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Finding the Fourth Proportional to 6,881.64, 9,491.14 and 4,522.92

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Solution

The fourth proportional to 6,881.64, 9,491.14 and 4,522.92 is: 6,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.64 : 9,491.14 = 4,522.92 : x
  2. Step 2: Convert to fraction form
    6,881.64/9,491.14 = 4,522.92/x
  3. Step 3: Cross multiply
    6,881.64x = 9,491.14 × 4,522.92
  4. Step 4: Simplify right side
    6,881.64x = 42,927,666.93
  5. Step 5: Solve for x
    x = 42,927,666.93/6,881.64
  6. Step 6: Final answer
    x = 6,238.00

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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.