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Finding the Fourth Proportional to 6,307.60, 9,461.40 and 1,690.60

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Solution

The fourth proportional to 6,307.60, 9,461.40 and 1,690.60 is: 2,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.60 : 9,461.40 = 1,690.60 : x
  2. Step 2: Convert to fraction form
    6,307.60/9,461.40 = 1,690.60/x
  3. Step 3: Cross multiply
    6,307.60x = 9,461.40 × 1,690.60
  4. Step 4: Simplify right side
    6,307.60x = 15,995,442.84
  5. Step 5: Solve for x
    x = 15,995,442.84/6,307.60
  6. Step 6: Final answer
    x = 2,535.90

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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.