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Finding the Fourth Proportional to 10,274.40, 14,176.02 and 6,294.08

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Solution

The fourth proportional to 10,274.40, 14,176.02 and 6,294.08 is: 8,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.40 : 14,176.02 = 6,294.08 : x
  2. Step 2: Convert to fraction form
    10,274.40/14,176.02 = 6,294.08/x
  3. Step 3: Cross multiply
    10,274.40x = 14,176.02 × 6,294.08
  4. Step 4: Simplify right side
    10,274.40x = 89,225,003.96
  5. Step 5: Solve for x
    x = 89,225,003.96/10,274.40
  6. Step 6: Final answer
    x = 8,684.21

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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.