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Finding the Fourth Proportional to 9,585.40, 14,402.40 and 8,516.20

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Solution

The fourth proportional to 9,585.40, 14,402.40 and 8,516.20 is: 12,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.40 : 14,402.40 = 8,516.20 : x
  2. Step 2: Convert to fraction form
    9,585.40/14,402.40 = 8,516.20/x
  3. Step 3: Cross multiply
    9,585.40x = 14,402.40 × 8,516.20
  4. Step 4: Simplify right side
    9,585.40x = 122,653,718.88
  5. Step 5: Solve for x
    x = 122,653,718.88/9,585.40
  6. Step 6: Final answer
    x = 12,795.89

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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.