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Finding the Fourth Proportional to 6,740, 9,302.16 and 6,444.80

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Solution

The fourth proportional to 6,740, 9,302.16 and 6,444.80 is: 8,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 9,302.16 = 6,444.80 : x
  2. Step 2: Convert to fraction form
    6,740/9,302.16 = 6,444.80/x
  3. Step 3: Cross multiply
    6,740x = 9,302.16 × 6,444.80
  4. Step 4: Simplify right side
    6,740x = 59,950,560.77
  5. Step 5: Solve for x
    x = 59,950,560.77/6,740
  6. Step 6: Final answer
    x = 8,894.74

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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.