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Finding the Fourth Proportional to 9,734.02, 14,613.59 and 8,356.21

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Solution

The fourth proportional to 9,734.02, 14,613.59 and 8,356.21 is: 12,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.02 : 14,613.59 = 8,356.21 : x
  2. Step 2: Convert to fraction form
    9,734.02/14,613.59 = 8,356.21/x
  3. Step 3: Cross multiply
    9,734.02x = 14,613.59 × 8,356.21
  4. Step 4: Simplify right side
    9,734.02x = 122,114,185.11
  5. Step 5: Solve for x
    x = 122,114,185.11/9,734.02
  6. Step 6: Final answer
    x = 12,545.09

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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.