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Finding the Fourth Proportional to 9,671.63, 13,347.95 and 5,896.98

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Solution

The fourth proportional to 9,671.63, 13,347.95 and 5,896.98 is: 8,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.63 : 13,347.95 = 5,896.98 : x
  2. Step 2: Convert to fraction form
    9,671.63/13,347.95 = 5,896.98/x
  3. Step 3: Cross multiply
    9,671.63x = 13,347.95 × 5,896.98
  4. Step 4: Simplify right side
    9,671.63x = 78,712,564.71
  5. Step 5: Solve for x
    x = 78,712,564.71/9,671.63
  6. Step 6: Final answer
    x = 8,138.50

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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.