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Finding the Fourth Proportional to 686,098.80, 961,938 and 686,098.80

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Solution

The fourth proportional to 686,098.80, 961,938 and 686,098.80 is: 961,938

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,098.80 : 961,938 = 686,098.80 : x
  2. Step 2: Convert to fraction form
    686,098.80/961,938 = 686,098.80/x
  3. Step 3: Cross multiply
    686,098.80x = 961,938 × 686,098.80
  4. Step 4: Simplify right side
    686,098.80x = 659,984,507,474.40
  5. Step 5: Solve for x
    x = 659,984,507,474.40/686,098.80
  6. Step 6: Final answer
    x = 961,938

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.