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Finding the Fourth Proportional to 9,465.84, 13,062.68 and 5,931

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Solution

The fourth proportional to 9,465.84, 13,062.68 and 5,931 is: 8,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.84 : 13,062.68 = 5,931 : x
  2. Step 2: Convert to fraction form
    9,465.84/13,062.68 = 5,931/x
  3. Step 3: Cross multiply
    9,465.84x = 13,062.68 × 5,931
  4. Step 4: Simplify right side
    9,465.84x = 77,474,755.08
  5. Step 5: Solve for x
    x = 77,474,755.08/9,465.84
  6. Step 6: Final answer
    x = 8,184.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.