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Finding the Fourth Proportional to 10,684.83, 14,733.74 and 7,332.54

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Solution

The fourth proportional to 10,684.83, 14,733.74 and 7,332.54 is: 10,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.83 : 14,733.74 = 7,332.54 : x
  2. Step 2: Convert to fraction form
    10,684.83/14,733.74 = 7,332.54/x
  3. Step 3: Cross multiply
    10,684.83x = 14,733.74 × 7,332.54
  4. Step 4: Simplify right side
    10,684.83x = 108,035,701.24
  5. Step 5: Solve for x
    x = 108,035,701.24/10,684.83
  6. Step 6: Final answer
    x = 10,111.13

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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.