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Finding the Fourth Proportional to 9,654.07, 14,472.64 and 4,971.67

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Solution

The fourth proportional to 9,654.07, 14,472.64 and 4,971.67 is: 7,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.07 : 14,472.64 = 4,971.67 : x
  2. Step 2: Convert to fraction form
    9,654.07/14,472.64 = 4,971.67/x
  3. Step 3: Cross multiply
    9,654.07x = 14,472.64 × 4,971.67
  4. Step 4: Simplify right side
    9,654.07x = 71,953,150.28
  5. Step 5: Solve for x
    x = 71,953,150.28/9,654.07
  6. Step 6: Final answer
    x = 7,453.14

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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.