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Finding the Fourth Proportional to 9,656.28, 14,491.74 and 6,368.28

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Solution

The fourth proportional to 9,656.28, 14,491.74 and 6,368.28 is: 9,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.28 : 14,491.74 = 6,368.28 : x
  2. Step 2: Convert to fraction form
    9,656.28/14,491.74 = 6,368.28/x
  3. Step 3: Cross multiply
    9,656.28x = 14,491.74 × 6,368.28
  4. Step 4: Simplify right side
    9,656.28x = 92,287,458.01
  5. Step 5: Solve for x
    x = 92,287,458.01/9,656.28
  6. Step 6: Final answer
    x = 9,557.25

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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.