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Finding the Fourth Proportional to 9,993.13, 13,848.84 and 9,852.19

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Solution

The fourth proportional to 9,993.13, 13,848.84 and 9,852.19 is: 13,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.13 : 13,848.84 = 9,852.19 : x
  2. Step 2: Convert to fraction form
    9,993.13/13,848.84 = 9,852.19/x
  3. Step 3: Cross multiply
    9,993.13x = 13,848.84 × 9,852.19
  4. Step 4: Simplify right side
    9,993.13x = 136,441,368.34
  5. Step 5: Solve for x
    x = 136,441,368.34/9,993.13
  6. Step 6: Final answer
    x = 13,653.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.