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Finding the Fourth Proportional to 12,666.68, 17,477.36 and 7,358.76

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Solution

The fourth proportional to 12,666.68, 17,477.36 and 7,358.76 is: 10,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.68 : 17,477.36 = 7,358.76 : x
  2. Step 2: Convert to fraction form
    12,666.68/17,477.36 = 7,358.76/x
  3. Step 3: Cross multiply
    12,666.68x = 17,477.36 × 7,358.76
  4. Step 4: Simplify right side
    12,666.68x = 128,611,697.67
  5. Step 5: Solve for x
    x = 128,611,697.67/12,666.68
  6. Step 6: Final answer
    x = 10,153.54

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Half scale
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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.