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Finding the Fourth Proportional to 6,364.64, 9,526.68 and 4,896.80

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Solution

The fourth proportional to 6,364.64, 9,526.68 and 4,896.80 is: 7,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.64 : 9,526.68 = 4,896.80 : x
  2. Step 2: Convert to fraction form
    6,364.64/9,526.68 = 4,896.80/x
  3. Step 3: Cross multiply
    6,364.64x = 9,526.68 × 4,896.80
  4. Step 4: Simplify right side
    6,364.64x = 46,650,246.62
  5. Step 5: Solve for x
    x = 46,650,246.62/6,364.64
  6. Step 6: Final answer
    x = 7,329.60

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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.