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Finding the Fourth Proportional to 9,309.68, 13,964.16 and 3,153.68

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Solution

The fourth proportional to 9,309.68, 13,964.16 and 3,153.68 is: 4,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.68 : 13,964.16 = 3,153.68 : x
  2. Step 2: Convert to fraction form
    9,309.68/13,964.16 = 3,153.68/x
  3. Step 3: Cross multiply
    9,309.68x = 13,964.16 × 3,153.68
  4. Step 4: Simplify right side
    9,309.68x = 44,038,492.11
  5. Step 5: Solve for x
    x = 44,038,492.11/9,309.68
  6. Step 6: Final answer
    x = 4,730.40

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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.