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Finding the Fourth Proportional to 10,365.84, 14,311.35 and 6,835.05

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Solution

The fourth proportional to 10,365.84, 14,311.35 and 6,835.05 is: 9,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.84 : 14,311.35 = 6,835.05 : x
  2. Step 2: Convert to fraction form
    10,365.84/14,311.35 = 6,835.05/x
  3. Step 3: Cross multiply
    10,365.84x = 14,311.35 × 6,835.05
  4. Step 4: Simplify right side
    10,365.84x = 97,818,792.82
  5. Step 5: Solve for x
    x = 97,818,792.82/10,365.84
  6. Step 6: Final answer
    x = 9,436.65

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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.