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Finding the Fourth Proportional to 7,673.40, 11,510.10 and 6,701.40

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Solution

The fourth proportional to 7,673.40, 11,510.10 and 6,701.40 is: 10,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.40 : 11,510.10 = 6,701.40 : x
  2. Step 2: Convert to fraction form
    7,673.40/11,510.10 = 6,701.40/x
  3. Step 3: Cross multiply
    7,673.40x = 11,510.10 × 6,701.40
  4. Step 4: Simplify right side
    7,673.40x = 77,133,784.14
  5. Step 5: Solve for x
    x = 77,133,784.14/7,673.40
  6. Step 6: Final answer
    x = 10,052.10

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1.5x scale

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.