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Finding the Fourth Proportional to 7,602.27, 11,407.32 and 5,752.77

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Solution

The fourth proportional to 7,602.27, 11,407.32 and 5,752.77 is: 8,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.27 : 11,407.32 = 5,752.77 : x
  2. Step 2: Convert to fraction form
    7,602.27/11,407.32 = 5,752.77/x
  3. Step 3: Cross multiply
    7,602.27x = 11,407.32 × 5,752.77
  4. Step 4: Simplify right side
    7,602.27x = 65,623,688.28
  5. Step 5: Solve for x
    x = 65,623,688.28/7,602.27
  6. Step 6: Final answer
    x = 8,632.12

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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.