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Finding the Fourth Proportional to 9,937.34, 13,710.53 and 5,957.00

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Solution

The fourth proportional to 9,937.34, 13,710.53 and 5,957.00 is: 8,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.34 : 13,710.53 = 5,957.00 : x
  2. Step 2: Convert to fraction form
    9,937.34/13,710.53 = 5,957.00/x
  3. Step 3: Cross multiply
    9,937.34x = 13,710.53 × 5,957.00
  4. Step 4: Simplify right side
    9,937.34x = 81,673,528.87
  5. Step 5: Solve for x
    x = 81,673,528.87/9,937.34
  6. Step 6: Final answer
    x = 8,218.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.