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Finding the Fourth Proportional to 12,701.53, 17,528.74 and 7,665.67

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Solution

The fourth proportional to 12,701.53, 17,528.74 and 7,665.67 is: 10,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.53 : 17,528.74 = 7,665.67 : x
  2. Step 2: Convert to fraction form
    12,701.53/17,528.74 = 7,665.67/x
  3. Step 3: Cross multiply
    12,701.53x = 17,528.74 × 7,665.67
  4. Step 4: Simplify right side
    12,701.53x = 134,369,536.36
  5. Step 5: Solve for x
    x = 134,369,536.36/12,701.53
  6. Step 6: Final answer
    x = 10,579.00

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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.