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Finding the Fourth Proportional to 9,733.89, 14,573.28 and 7,567.95

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Solution

The fourth proportional to 9,733.89, 14,573.28 and 7,567.95 is: 11,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.89 : 14,573.28 = 7,567.95 : x
  2. Step 2: Convert to fraction form
    9,733.89/14,573.28 = 7,567.95/x
  3. Step 3: Cross multiply
    9,733.89x = 14,573.28 × 7,567.95
  4. Step 4: Simplify right side
    9,733.89x = 110,289,854.38
  5. Step 5: Solve for x
    x = 110,289,854.38/9,733.89
  6. Step 6: Final answer
    x = 11,330.50

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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.