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Finding the Fourth Proportional to 9,589.64, 14,404.14 and 6,307.40

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Solution

The fourth proportional to 9,589.64, 14,404.14 and 6,307.40 is: 9,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.64 : 14,404.14 = 6,307.40 : x
  2. Step 2: Convert to fraction form
    9,589.64/14,404.14 = 6,307.40/x
  3. Step 3: Cross multiply
    9,589.64x = 14,404.14 × 6,307.40
  4. Step 4: Simplify right side
    9,589.64x = 90,852,672.64
  5. Step 5: Solve for x
    x = 90,852,672.64/9,589.64
  6. Step 6: Final answer
    x = 9,474.04

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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.