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Finding the Fourth Proportional to 9,585, 14,372.18 and 6,464.84

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Solution

The fourth proportional to 9,585, 14,372.18 and 6,464.84 is: 9,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 14,372.18 = 6,464.84 : x
  2. Step 2: Convert to fraction form
    9,585/14,372.18 = 6,464.84/x
  3. Step 3: Cross multiply
    9,585x = 14,372.18 × 6,464.84
  4. Step 4: Simplify right side
    9,585x = 92,913,844.15
  5. Step 5: Solve for x
    x = 92,913,844.15/9,585
  6. Step 6: Final answer
    x = 9,693.67

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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.