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Finding the Fourth Proportional to 7,029.64, 9,702.78 and 4,045.80

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Solution

The fourth proportional to 7,029.64, 9,702.78 and 4,045.80 is: 5,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.64 : 9,702.78 = 4,045.80 : x
  2. Step 2: Convert to fraction form
    7,029.64/9,702.78 = 4,045.80/x
  3. Step 3: Cross multiply
    7,029.64x = 9,702.78 × 4,045.80
  4. Step 4: Simplify right side
    7,029.64x = 39,255,507.32
  5. Step 5: Solve for x
    x = 39,255,507.32/7,029.64
  6. Step 6: Final answer
    x = 5,584.28

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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.