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Finding the Fourth Proportional to 8,407.21, 11,601.95 and 4,681.21

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Solution

The fourth proportional to 8,407.21, 11,601.95 and 4,681.21 is: 6,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.21 : 11,601.95 = 4,681.21 : x
  2. Step 2: Convert to fraction form
    8,407.21/11,601.95 = 4,681.21/x
  3. Step 3: Cross multiply
    8,407.21x = 11,601.95 × 4,681.21
  4. Step 4: Simplify right side
    8,407.21x = 54,311,164.36
  5. Step 5: Solve for x
    x = 54,311,164.36/8,407.21
  6. Step 6: Final answer
    x = 6,460.07

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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.