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Finding the Fourth Proportional to 4,597.48, 6,896.63 and 1,310.50

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Solution

The fourth proportional to 4,597.48, 6,896.63 and 1,310.50 is: 1,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.48 : 6,896.63 = 1,310.50 : x
  2. Step 2: Convert to fraction form
    4,597.48/6,896.63 = 1,310.50/x
  3. Step 3: Cross multiply
    4,597.48x = 6,896.63 × 1,310.50
  4. Step 4: Simplify right side
    4,597.48x = 9,038,027.06
  5. Step 5: Solve for x
    x = 9,038,027.06/4,597.48
  6. Step 6: Final answer
    x = 1,965.87

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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.