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Finding the Fourth Proportional to 10,894.40, 16,303.20 and 9,972.80

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Solution

The fourth proportional to 10,894.40, 16,303.20 and 9,972.80 is: 14,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.40 : 16,303.20 = 9,972.80 : x
  2. Step 2: Convert to fraction form
    10,894.40/16,303.20 = 9,972.80/x
  3. Step 3: Cross multiply
    10,894.40x = 16,303.20 × 9,972.80
  4. Step 4: Simplify right side
    10,894.40x = 162,588,552.96
  5. Step 5: Solve for x
    x = 162,588,552.96/10,894.40
  6. Step 6: Final answer
    x = 14,924.05

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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.