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Finding the Fourth Proportional to 10,374.84, 14,312.04 and 6,836.76

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Solution

The fourth proportional to 10,374.84, 14,312.04 and 6,836.76 is: 9,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.84 : 14,312.04 = 6,836.76 : x
  2. Step 2: Convert to fraction form
    10,374.84/14,312.04 = 6,836.76/x
  3. Step 3: Cross multiply
    10,374.84x = 14,312.04 × 6,836.76
  4. Step 4: Simplify right side
    10,374.84x = 97,847,982.59
  5. Step 5: Solve for x
    x = 97,847,982.59/10,374.84
  6. Step 6: Final answer
    x = 9,431.28

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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.