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Finding the Fourth Proportional to 10,346, 14,276.04 and 6,156.56

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Solution

The fourth proportional to 10,346, 14,276.04 and 6,156.56 is: 8,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346 : 14,276.04 = 6,156.56 : x
  2. Step 2: Convert to fraction form
    10,346/14,276.04 = 6,156.56/x
  3. Step 3: Cross multiply
    10,346x = 14,276.04 × 6,156.56
  4. Step 4: Simplify right side
    10,346x = 87,891,296.82
  5. Step 5: Solve for x
    x = 87,891,296.82/10,346
  6. Step 6: Final answer
    x = 8,495.20

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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.