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Finding the Fourth Proportional to 9,666.64, 14,504.80 and 7,206.40

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Solution

The fourth proportional to 9,666.64, 14,504.80 and 7,206.40 is: 10,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.64 : 14,504.80 = 7,206.40 : x
  2. Step 2: Convert to fraction form
    9,666.64/14,504.80 = 7,206.40/x
  3. Step 3: Cross multiply
    9,666.64x = 14,504.80 × 7,206.40
  4. Step 4: Simplify right side
    9,666.64x = 104,527,390.72
  5. Step 5: Solve for x
    x = 104,527,390.72/9,666.64
  6. Step 6: Final answer
    x = 10,813.21

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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.