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Finding the Fourth Proportional to 7,235.06, 9,981 and 4,683.63

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Solution

The fourth proportional to 7,235.06, 9,981 and 4,683.63 is: 6,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.06 : 9,981 = 4,683.63 : x
  2. Step 2: Convert to fraction form
    7,235.06/9,981 = 4,683.63/x
  3. Step 3: Cross multiply
    7,235.06x = 9,981 × 4,683.63
  4. Step 4: Simplify right side
    7,235.06x = 46,747,348.46
  5. Step 5: Solve for x
    x = 46,747,348.46/7,235.06
  6. Step 6: Final answer
    x = 6,461.23

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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.