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Finding the Fourth Proportional to 10,614.60, 14,609.48 and 9,347.36

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Solution

The fourth proportional to 10,614.60, 14,609.48 and 9,347.36 is: 12,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.60 : 14,609.48 = 9,347.36 : x
  2. Step 2: Convert to fraction form
    10,614.60/14,609.48 = 9,347.36/x
  3. Step 3: Cross multiply
    10,614.60x = 14,609.48 × 9,347.36
  4. Step 4: Simplify right side
    10,614.60x = 136,560,001.77
  5. Step 5: Solve for x
    x = 136,560,001.77/10,614.60
  6. Step 6: Final answer
    x = 12,865.30

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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.