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Finding the Fourth Proportional to 9,870.70, 14,807.40 and 3,296.20

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Solution

The fourth proportional to 9,870.70, 14,807.40 and 3,296.20 is: 4,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.70 : 14,807.40 = 3,296.20 : x
  2. Step 2: Convert to fraction form
    9,870.70/14,807.40 = 3,296.20/x
  3. Step 3: Cross multiply
    9,870.70x = 14,807.40 × 3,296.20
  4. Step 4: Simplify right side
    9,870.70x = 48,808,151.88
  5. Step 5: Solve for x
    x = 48,808,151.88/9,870.70
  6. Step 6: Final answer
    x = 4,944.75

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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.