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Finding the Fourth Proportional to 4,723.48, 7,085.70 and 1,804.24

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Solution

The fourth proportional to 4,723.48, 7,085.70 and 1,804.24 is: 2,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.48 : 7,085.70 = 1,804.24 : x
  2. Step 2: Convert to fraction form
    4,723.48/7,085.70 = 1,804.24/x
  3. Step 3: Cross multiply
    4,723.48x = 7,085.70 × 1,804.24
  4. Step 4: Simplify right side
    4,723.48x = 12,784,303.37
  5. Step 5: Solve for x
    x = 12,784,303.37/4,723.48
  6. Step 6: Final answer
    x = 2,706.54

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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.