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Finding the Fourth Proportional to 9,895.12, 14,829.84 and 7,410.40

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Solution

The fourth proportional to 9,895.12, 14,829.84 and 7,410.40 is: 11,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.12 : 14,829.84 = 7,410.40 : x
  2. Step 2: Convert to fraction form
    9,895.12/14,829.84 = 7,410.40/x
  3. Step 3: Cross multiply
    9,895.12x = 14,829.84 × 7,410.40
  4. Step 4: Simplify right side
    9,895.12x = 109,895,046.34
  5. Step 5: Solve for x
    x = 109,895,046.34/9,895.12
  6. Step 6: Final answer
    x = 11,105.98

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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.