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Finding the Fourth Proportional to 6,466.83, 9,700.99 and 2,307.42

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Solution

The fourth proportional to 6,466.83, 9,700.99 and 2,307.42 is: 3,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.83 : 9,700.99 = 2,307.42 : x
  2. Step 2: Convert to fraction form
    6,466.83/9,700.99 = 2,307.42/x
  3. Step 3: Cross multiply
    6,466.83x = 9,700.99 × 2,307.42
  4. Step 4: Simplify right side
    6,466.83x = 22,384,258.35
  5. Step 5: Solve for x
    x = 22,384,258.35/6,466.83
  6. Step 6: Final answer
    x = 3,461.40

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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.