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Finding the Fourth Proportional to 9,647.60, 14,483.82 and 7,774.64

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Solution

The fourth proportional to 9,647.60, 14,483.82 and 7,774.64 is: 11,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.60 : 14,483.82 = 7,774.64 : x
  2. Step 2: Convert to fraction form
    9,647.60/14,483.82 = 7,774.64/x
  3. Step 3: Cross multiply
    9,647.60x = 14,483.82 × 7,774.64
  4. Step 4: Simplify right side
    9,647.60x = 112,606,486.32
  5. Step 5: Solve for x
    x = 112,606,486.32/9,647.60
  6. Step 6: Final answer
    x = 11,671.97

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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.