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Finding the Fourth Proportional to 9,700.94, 13,389.16 and 6,337.96

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Solution

The fourth proportional to 9,700.94, 13,389.16 and 6,337.96 is: 8,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.94 : 13,389.16 = 6,337.96 : x
  2. Step 2: Convert to fraction form
    9,700.94/13,389.16 = 6,337.96/x
  3. Step 3: Cross multiply
    9,700.94x = 13,389.16 × 6,337.96
  4. Step 4: Simplify right side
    9,700.94x = 84,859,960.51
  5. Step 5: Solve for x
    x = 84,859,960.51/9,700.94
  6. Step 6: Final answer
    x = 8,747.60

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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.