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Finding the Fourth Proportional to 7,206.27, 9,946.23 and 4,683.99

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Solution

The fourth proportional to 7,206.27, 9,946.23 and 4,683.99 is: 6,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.27 : 9,946.23 = 4,683.99 : x
  2. Step 2: Convert to fraction form
    7,206.27/9,946.23 = 4,683.99/x
  3. Step 3: Cross multiply
    7,206.27x = 9,946.23 × 4,683.99
  4. Step 4: Simplify right side
    7,206.27x = 46,588,041.86
  5. Step 5: Solve for x
    x = 46,588,041.86/7,206.27
  6. Step 6: Final answer
    x = 6,464.93

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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.