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Finding the Fourth Proportional to 9,899.93, 14,852.64 and 8,046.45

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Solution

The fourth proportional to 9,899.93, 14,852.64 and 8,046.45 is: 12,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.93 : 14,852.64 = 8,046.45 : x
  2. Step 2: Convert to fraction form
    9,899.93/14,852.64 = 8,046.45/x
  3. Step 3: Cross multiply
    9,899.93x = 14,852.64 × 8,046.45
  4. Step 4: Simplify right side
    9,899.93x = 119,511,025.13
  5. Step 5: Solve for x
    x = 119,511,025.13/9,899.93
  6. Step 6: Final answer
    x = 12,071.91

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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.