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Finding the Fourth Proportional to 9,354.75, 14,011.53 and 7,733.49

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Solution

The fourth proportional to 9,354.75, 14,011.53 and 7,733.49 is: 11,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.75 : 14,011.53 = 7,733.49 : x
  2. Step 2: Convert to fraction form
    9,354.75/14,011.53 = 7,733.49/x
  3. Step 3: Cross multiply
    9,354.75x = 14,011.53 × 7,733.49
  4. Step 4: Simplify right side
    9,354.75x = 108,357,988.47
  5. Step 5: Solve for x
    x = 108,357,988.47/9,354.75
  6. Step 6: Final answer
    x = 11,583.21

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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.