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Finding the Fourth Proportional to 9,774.40, 14,664.30 and 4,230.40

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Solution

The fourth proportional to 9,774.40, 14,664.30 and 4,230.40 is: 6,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.40 : 14,664.30 = 4,230.40 : x
  2. Step 2: Convert to fraction form
    9,774.40/14,664.30 = 4,230.40/x
  3. Step 3: Cross multiply
    9,774.40x = 14,664.30 × 4,230.40
  4. Step 4: Simplify right side
    9,774.40x = 62,035,854.72
  5. Step 5: Solve for x
    x = 62,035,854.72/9,774.40
  6. Step 6: Final answer
    x = 6,346.77

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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.