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Finding the Fourth Proportional to 11,614.76, 16,030.50 and 6,901.64

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Solution

The fourth proportional to 11,614.76, 16,030.50 and 6,901.64 is: 9,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.76 : 16,030.50 = 6,901.64 : x
  2. Step 2: Convert to fraction form
    11,614.76/16,030.50 = 6,901.64/x
  3. Step 3: Cross multiply
    11,614.76x = 16,030.50 × 6,901.64
  4. Step 4: Simplify right side
    11,614.76x = 110,636,740.02
  5. Step 5: Solve for x
    x = 110,636,740.02/11,614.76
  6. Step 6: Final answer
    x = 9,525.53

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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.