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Finding the Fourth Proportional to 9,502.68, 14,285.88 and 7,666.68

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Solution

The fourth proportional to 9,502.68, 14,285.88 and 7,666.68 is: 11,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.68 : 14,285.88 = 7,666.68 : x
  2. Step 2: Convert to fraction form
    9,502.68/14,285.88 = 7,666.68/x
  3. Step 3: Cross multiply
    9,502.68x = 14,285.88 × 7,666.68
  4. Step 4: Simplify right side
    9,502.68x = 109,525,270.48
  5. Step 5: Solve for x
    x = 109,525,270.48/9,502.68
  6. Step 6: Final answer
    x = 11,525.72

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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.