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Finding the Fourth Proportional to 9,825.10, 14,737.64 and 8,090.08

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Solution

The fourth proportional to 9,825.10, 14,737.64 and 8,090.08 is: 12,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.10 : 14,737.64 = 8,090.08 : x
  2. Step 2: Convert to fraction form
    9,825.10/14,737.64 = 8,090.08/x
  3. Step 3: Cross multiply
    9,825.10x = 14,737.64 × 8,090.08
  4. Step 4: Simplify right side
    9,825.10x = 119,228,686.61
  5. Step 5: Solve for x
    x = 119,228,686.61/9,825.10
  6. Step 6: Final answer
    x = 12,135.11

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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.