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Finding the Fourth Proportional to 6,295.40, 8,682.36 and 5,303

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Solution

The fourth proportional to 6,295.40, 8,682.36 and 5,303 is: 7,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.40 : 8,682.36 = 5,303 : x
  2. Step 2: Convert to fraction form
    6,295.40/8,682.36 = 5,303/x
  3. Step 3: Cross multiply
    6,295.40x = 8,682.36 × 5,303
  4. Step 4: Simplify right side
    6,295.40x = 46,042,555.08
  5. Step 5: Solve for x
    x = 46,042,555.08/6,295.40
  6. Step 6: Final answer
    x = 7,313.68

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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.