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Finding the Fourth Proportional to 9,893.66, 14,840.45 and 7,645.46

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Solution

The fourth proportional to 9,893.66, 14,840.45 and 7,645.46 is: 11,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.66 : 14,840.45 = 7,645.46 : x
  2. Step 2: Convert to fraction form
    9,893.66/14,840.45 = 7,645.46/x
  3. Step 3: Cross multiply
    9,893.66x = 14,840.45 × 7,645.46
  4. Step 4: Simplify right side
    9,893.66x = 113,462,011.77
  5. Step 5: Solve for x
    x = 113,462,011.77/9,893.66
  6. Step 6: Final answer
    x = 11,468.16

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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.