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Finding the Fourth Proportional to 9,666.54, 14,501.63 and 5,281.61

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Solution

The fourth proportional to 9,666.54, 14,501.63 and 5,281.61 is: 7,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.54 : 14,501.63 = 5,281.61 : x
  2. Step 2: Convert to fraction form
    9,666.54/14,501.63 = 5,281.61/x
  3. Step 3: Cross multiply
    9,666.54x = 14,501.63 × 5,281.61
  4. Step 4: Simplify right side
    9,666.54x = 76,591,894.72
  5. Step 5: Solve for x
    x = 76,591,894.72/9,666.54
  6. Step 6: Final answer
    x = 7,923.40

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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.