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Finding the Fourth Proportional to 10,584.12, 14,605.74 and 6,391.64

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Solution

The fourth proportional to 10,584.12, 14,605.74 and 6,391.64 is: 8,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.12 : 14,605.74 = 6,391.64 : x
  2. Step 2: Convert to fraction form
    10,584.12/14,605.74 = 6,391.64/x
  3. Step 3: Cross multiply
    10,584.12x = 14,605.74 × 6,391.64
  4. Step 4: Simplify right side
    10,584.12x = 93,354,632.01
  5. Step 5: Solve for x
    x = 93,354,632.01/10,584.12
  6. Step 6: Final answer
    x = 8,820.25

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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.