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Finding the Fourth Proportional to 10,746, 16,125.48 and 4,590

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Solution

The fourth proportional to 10,746, 16,125.48 and 4,590 is: 6,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 16,125.48 = 4,590 : x
  2. Step 2: Convert to fraction form
    10,746/16,125.48 = 4,590/x
  3. Step 3: Cross multiply
    10,746x = 16,125.48 × 4,590
  4. Step 4: Simplify right side
    10,746x = 74,015,953.20
  5. Step 5: Solve for x
    x = 74,015,953.20/10,746
  6. Step 6: Final answer
    x = 6,887.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.