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Finding the Fourth Proportional to 11,643.58, 16,090.95 and 10,347.58

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Solution

The fourth proportional to 11,643.58, 16,090.95 and 10,347.58 is: 14,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.58 : 16,090.95 = 10,347.58 : x
  2. Step 2: Convert to fraction form
    11,643.58/16,090.95 = 10,347.58/x
  3. Step 3: Cross multiply
    11,643.58x = 16,090.95 × 10,347.58
  4. Step 4: Simplify right side
    11,643.58x = 166,502,392.40
  5. Step 5: Solve for x
    x = 166,502,392.40/11,643.58
  6. Step 6: Final answer
    x = 14,299.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.