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Finding the Fourth Proportional to 9,670.84, 14,506.26 and 2,745.16

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Solution

The fourth proportional to 9,670.84, 14,506.26 and 2,745.16 is: 4,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.84 : 14,506.26 = 2,745.16 : x
  2. Step 2: Convert to fraction form
    9,670.84/14,506.26 = 2,745.16/x
  3. Step 3: Cross multiply
    9,670.84x = 14,506.26 × 2,745.16
  4. Step 4: Simplify right side
    9,670.84x = 39,822,004.70
  5. Step 5: Solve for x
    x = 39,822,004.70/9,670.84
  6. Step 6: Final answer
    x = 4,117.74

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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.