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Finding the Fourth Proportional to 6,330.64, 9,492 and 2,430.40

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Solution

The fourth proportional to 6,330.64, 9,492 and 2,430.40 is: 3,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.64 : 9,492 = 2,430.40 : x
  2. Step 2: Convert to fraction form
    6,330.64/9,492 = 2,430.40/x
  3. Step 3: Cross multiply
    6,330.64x = 9,492 × 2,430.40
  4. Step 4: Simplify right side
    6,330.64x = 23,069,356.80
  5. Step 5: Solve for x
    x = 23,069,356.80/6,330.64
  6. Step 6: Final answer
    x = 3,644.08

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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.