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Finding the Fourth Proportional to 9,696.21, 14,566.18 and 5,803.35

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Solution

The fourth proportional to 9,696.21, 14,566.18 and 5,803.35 is: 8,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.21 : 14,566.18 = 5,803.35 : x
  2. Step 2: Convert to fraction form
    9,696.21/14,566.18 = 5,803.35/x
  3. Step 3: Cross multiply
    9,696.21x = 14,566.18 × 5,803.35
  4. Step 4: Simplify right side
    9,696.21x = 84,532,640.70
  5. Step 5: Solve for x
    x = 84,532,640.70/9,696.21
  6. Step 6: Final answer
    x = 8,718.11

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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.