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Finding the Fourth Proportional to 10,485.54, 15,733.74 and 5,804.70

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Solution

The fourth proportional to 10,485.54, 15,733.74 and 5,804.70 is: 8,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.54 : 15,733.74 = 5,804.70 : x
  2. Step 2: Convert to fraction form
    10,485.54/15,733.74 = 5,804.70/x
  3. Step 3: Cross multiply
    10,485.54x = 15,733.74 × 5,804.70
  4. Step 4: Simplify right side
    10,485.54x = 91,329,640.58
  5. Step 5: Solve for x
    x = 91,329,640.58/10,485.54
  6. Step 6: Final answer
    x = 8,710.06

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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.