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Finding the Fourth Proportional to 10,417.64, 14,376.74 and 5,942.12

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Solution

The fourth proportional to 10,417.64, 14,376.74 and 5,942.12 is: 8,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.64 : 14,376.74 = 5,942.12 : x
  2. Step 2: Convert to fraction form
    10,417.64/14,376.74 = 5,942.12/x
  3. Step 3: Cross multiply
    10,417.64x = 14,376.74 × 5,942.12
  4. Step 4: Simplify right side
    10,417.64x = 85,428,314.29
  5. Step 5: Solve for x
    x = 85,428,314.29/10,417.64
  6. Step 6: Final answer
    x = 8,200.35

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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.