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Finding the Fourth Proportional to 9,969, 14,944.05 and 6,461.70

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Solution

The fourth proportional to 9,969, 14,944.05 and 6,461.70 is: 9,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969 : 14,944.05 = 6,461.70 : x
  2. Step 2: Convert to fraction form
    9,969/14,944.05 = 6,461.70/x
  3. Step 3: Cross multiply
    9,969x = 14,944.05 × 6,461.70
  4. Step 4: Simplify right side
    9,969x = 96,563,967.89
  5. Step 5: Solve for x
    x = 96,563,967.89/9,969
  6. Step 6: Final answer
    x = 9,686.42

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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.