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Finding the Fourth Proportional to 9,899.10, 14,848.65 and 7,695.90

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Solution

The fourth proportional to 9,899.10, 14,848.65 and 7,695.90 is: 11,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.10 : 14,848.65 = 7,695.90 : x
  2. Step 2: Convert to fraction form
    9,899.10/14,848.65 = 7,695.90/x
  3. Step 3: Cross multiply
    9,899.10x = 14,848.65 × 7,695.90
  4. Step 4: Simplify right side
    9,899.10x = 114,273,725.54
  5. Step 5: Solve for x
    x = 114,273,725.54/9,899.10
  6. Step 6: Final answer
    x = 11,543.85

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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.