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Finding the Fourth Proportional to 9,774.34, 14,664.75 and 6,500.32

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Solution

The fourth proportional to 9,774.34, 14,664.75 and 6,500.32 is: 9,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.34 : 14,664.75 = 6,500.32 : x
  2. Step 2: Convert to fraction form
    9,774.34/14,664.75 = 6,500.32/x
  3. Step 3: Cross multiply
    9,774.34x = 14,664.75 × 6,500.32
  4. Step 4: Simplify right side
    9,774.34x = 95,325,567.72
  5. Step 5: Solve for x
    x = 95,325,567.72/9,774.34
  6. Step 6: Final answer
    x = 9,752.63

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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.