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Finding the Fourth Proportional to 9,710.80, 14,567.64 and 3,134.80

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Solution

The fourth proportional to 9,710.80, 14,567.64 and 3,134.80 is: 4,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.80 : 14,567.64 = 3,134.80 : x
  2. Step 2: Convert to fraction form
    9,710.80/14,567.64 = 3,134.80/x
  3. Step 3: Cross multiply
    9,710.80x = 14,567.64 × 3,134.80
  4. Step 4: Simplify right side
    9,710.80x = 45,666,637.87
  5. Step 5: Solve for x
    x = 45,666,637.87/9,710.80
  6. Step 6: Final answer
    x = 4,702.66

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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.