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Finding the Fourth Proportional to 10,045.88, 13,858.86 and 7,063.64

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Solution

The fourth proportional to 10,045.88, 13,858.86 and 7,063.64 is: 9,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.88 : 13,858.86 = 7,063.64 : x
  2. Step 2: Convert to fraction form
    10,045.88/13,858.86 = 7,063.64/x
  3. Step 3: Cross multiply
    10,045.88x = 13,858.86 × 7,063.64
  4. Step 4: Simplify right side
    10,045.88x = 97,893,997.85
  5. Step 5: Solve for x
    x = 97,893,997.85/10,045.88
  6. Step 6: Final answer
    x = 9,744.69

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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.