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Finding the Fourth Proportional to 9,664.70, 14,468.70 and 7,210.40

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Solution

The fourth proportional to 9,664.70, 14,468.70 and 7,210.40 is: 10,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.70 : 14,468.70 = 7,210.40 : x
  2. Step 2: Convert to fraction form
    9,664.70/14,468.70 = 7,210.40/x
  3. Step 3: Cross multiply
    9,664.70x = 14,468.70 × 7,210.40
  4. Step 4: Simplify right side
    9,664.70x = 104,325,114.48
  5. Step 5: Solve for x
    x = 104,325,114.48/9,664.70
  6. Step 6: Final answer
    x = 10,794.45

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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.