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Finding the Fourth Proportional to 9,706.50, 14,549.04 and 5,026.86

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Solution

The fourth proportional to 9,706.50, 14,549.04 and 5,026.86 is: 7,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.50 : 14,549.04 = 5,026.86 : x
  2. Step 2: Convert to fraction form
    9,706.50/14,549.04 = 5,026.86/x
  3. Step 3: Cross multiply
    9,706.50x = 14,549.04 × 5,026.86
  4. Step 4: Simplify right side
    9,706.50x = 73,135,987.21
  5. Step 5: Solve for x
    x = 73,135,987.21/9,706.50
  6. Step 6: Final answer
    x = 7,534.74

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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.