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Finding the Fourth Proportional to 10,742, 14,818.92 and 7,599.92

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Solution

The fourth proportional to 10,742, 14,818.92 and 7,599.92 is: 10,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742 : 14,818.92 = 7,599.92 : x
  2. Step 2: Convert to fraction form
    10,742/14,818.92 = 7,599.92/x
  3. Step 3: Cross multiply
    10,742x = 14,818.92 × 7,599.92
  4. Step 4: Simplify right side
    10,742x = 112,622,606.49
  5. Step 5: Solve for x
    x = 112,622,606.49/10,742
  6. Step 6: Final answer
    x = 10,484.32

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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.