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Finding the Fourth Proportional to 9,671.88, 14,516.64 and 5,981.28

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Solution

The fourth proportional to 9,671.88, 14,516.64 and 5,981.28 is: 8,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.88 : 14,516.64 = 5,981.28 : x
  2. Step 2: Convert to fraction form
    9,671.88/14,516.64 = 5,981.28/x
  3. Step 3: Cross multiply
    9,671.88x = 14,516.64 × 5,981.28
  4. Step 4: Simplify right side
    9,671.88x = 86,828,088.50
  5. Step 5: Solve for x
    x = 86,828,088.50/9,671.88
  6. Step 6: Final answer
    x = 8,977.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.