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Finding the Fourth Proportional to 10,575.60, 14,601.16 and 6,800.40

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Solution

The fourth proportional to 10,575.60, 14,601.16 and 6,800.40 is: 9,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.60 : 14,601.16 = 6,800.40 : x
  2. Step 2: Convert to fraction form
    10,575.60/14,601.16 = 6,800.40/x
  3. Step 3: Cross multiply
    10,575.60x = 14,601.16 × 6,800.40
  4. Step 4: Simplify right side
    10,575.60x = 99,293,728.46
  5. Step 5: Solve for x
    x = 99,293,728.46/10,575.60
  6. Step 6: Final answer
    x = 9,388.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.