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Finding the Fourth Proportional to 9,926.31, 14,889.36 and 7,590.47

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Solution

The fourth proportional to 9,926.31, 14,889.36 and 7,590.47 is: 11,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.31 : 14,889.36 = 7,590.47 : x
  2. Step 2: Convert to fraction form
    9,926.31/14,889.36 = 7,590.47/x
  3. Step 3: Cross multiply
    9,926.31x = 14,889.36 × 7,590.47
  4. Step 4: Simplify right side
    9,926.31x = 113,017,240.40
  5. Step 5: Solve for x
    x = 113,017,240.40/9,926.31
  6. Step 6: Final answer
    x = 11,385.62

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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.