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Finding the Fourth Proportional to 10,710, 14,788.92 and 6,737.76

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Solution

The fourth proportional to 10,710, 14,788.92 and 6,737.76 is: 9,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710 : 14,788.92 = 6,737.76 : x
  2. Step 2: Convert to fraction form
    10,710/14,788.92 = 6,737.76/x
  3. Step 3: Cross multiply
    10,710x = 14,788.92 × 6,737.76
  4. Step 4: Simplify right side
    10,710x = 99,644,193.62
  5. Step 5: Solve for x
    x = 99,644,193.62/10,710
  6. Step 6: Final answer
    x = 9,303.85

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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.