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Finding the Fourth Proportional to 30,596.64, 45,894.96 and 9,834.72

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Solution

The fourth proportional to 30,596.64, 45,894.96 and 9,834.72 is: 14,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.64 : 45,894.96 = 9,834.72 : x
  2. Step 2: Convert to fraction form
    30,596.64/45,894.96 = 9,834.72/x
  3. Step 3: Cross multiply
    30,596.64x = 45,894.96 × 9,834.72
  4. Step 4: Simplify right side
    30,596.64x = 451,364,081.01
  5. Step 5: Solve for x
    x = 451,364,081.01/30,596.64
  6. Step 6: Final answer
    x = 14,752.08

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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.