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Finding the Fourth Proportional to 9,760.63, 14,646.78 and 8,966.58

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Solution

The fourth proportional to 9,760.63, 14,646.78 and 8,966.58 is: 13,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.63 : 14,646.78 = 8,966.58 : x
  2. Step 2: Convert to fraction form
    9,760.63/14,646.78 = 8,966.58/x
  3. Step 3: Cross multiply
    9,760.63x = 14,646.78 × 8,966.58
  4. Step 4: Simplify right side
    9,760.63x = 131,331,516.40
  5. Step 5: Solve for x
    x = 131,331,516.40/9,760.63
  6. Step 6: Final answer
    x = 13,455.23

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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.