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Finding the Fourth Proportional to 6,384.60, 9,530.64 and 5,903.46

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Solution

The fourth proportional to 6,384.60, 9,530.64 and 5,903.46 is: 8,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.60 : 9,530.64 = 5,903.46 : x
  2. Step 2: Convert to fraction form
    6,384.60/9,530.64 = 5,903.46/x
  3. Step 3: Cross multiply
    6,384.60x = 9,530.64 × 5,903.46
  4. Step 4: Simplify right side
    6,384.60x = 56,263,752.01
  5. Step 5: Solve for x
    x = 56,263,752.01/6,384.60
  6. Step 6: Final answer
    x = 8,812.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.