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Finding the Fourth Proportional to 9,708.34, 14,562.54 and 2,953.99

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Solution

The fourth proportional to 9,708.34, 14,562.54 and 2,953.99 is: 4,430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.34 : 14,562.54 = 2,953.99 : x
  2. Step 2: Convert to fraction form
    9,708.34/14,562.54 = 2,953.99/x
  3. Step 3: Cross multiply
    9,708.34x = 14,562.54 × 2,953.99
  4. Step 4: Simplify right side
    9,708.34x = 43,017,579.33
  5. Step 5: Solve for x
    x = 43,017,579.33/9,708.34
  6. Step 6: Final answer
    x = 4,430.99

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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.