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Finding the Fourth Proportional to 9,660.68, 14,465.52 and 7,776.44

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Solution

The fourth proportional to 9,660.68, 14,465.52 and 7,776.44 is: 11,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.68 : 14,465.52 = 7,776.44 : x
  2. Step 2: Convert to fraction form
    9,660.68/14,465.52 = 7,776.44/x
  3. Step 3: Cross multiply
    9,660.68x = 14,465.52 × 7,776.44
  4. Step 4: Simplify right side
    9,660.68x = 112,490,248.35
  5. Step 5: Solve for x
    x = 112,490,248.35/9,660.68
  6. Step 6: Final answer
    x = 11,644.13

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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.