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Finding the Fourth Proportional to 7,235.63, 10,854.44 and 2,303.57

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Solution

The fourth proportional to 7,235.63, 10,854.44 and 2,303.57 is: 3,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.63 : 10,854.44 = 2,303.57 : x
  2. Step 2: Convert to fraction form
    7,235.63/10,854.44 = 2,303.57/x
  3. Step 3: Cross multiply
    7,235.63x = 10,854.44 × 2,303.57
  4. Step 4: Simplify right side
    7,235.63x = 25,003,986.61
  5. Step 5: Solve for x
    x = 25,003,986.61/7,235.63
  6. Step 6: Final answer
    x = 3,455.68

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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.