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Finding the Fourth Proportional to 6,641.40, 9,970.20 and 6,592.80

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Solution

The fourth proportional to 6,641.40, 9,970.20 and 6,592.80 is: 9,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.40 : 9,970.20 = 6,592.80 : x
  2. Step 2: Convert to fraction form
    6,641.40/9,970.20 = 6,592.80/x
  3. Step 3: Cross multiply
    6,641.40x = 9,970.20 × 6,592.80
  4. Step 4: Simplify right side
    6,641.40x = 65,731,534.56
  5. Step 5: Solve for x
    x = 65,731,534.56/6,641.40
  6. Step 6: Final answer
    x = 9,897.24

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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.