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Finding the Fourth Proportional to 9,710.80, 14,567.90 and 6,426.56

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Solution

The fourth proportional to 9,710.80, 14,567.90 and 6,426.56 is: 9,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.80 : 14,567.90 = 6,426.56 : x
  2. Step 2: Convert to fraction form
    9,710.80/14,567.90 = 6,426.56/x
  3. Step 3: Cross multiply
    9,710.80x = 14,567.90 × 6,426.56
  4. Step 4: Simplify right side
    9,710.80x = 93,621,483.42
  5. Step 5: Solve for x
    x = 93,621,483.42/9,710.80
  6. Step 6: Final answer
    x = 9,640.97

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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.