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Finding the Fourth Proportional to 9,801.85, 14,702.75 and 4,254.48

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Solution

The fourth proportional to 9,801.85, 14,702.75 and 4,254.48 is: 6,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.85 : 14,702.75 = 4,254.48 : x
  2. Step 2: Convert to fraction form
    9,801.85/14,702.75 = 4,254.48/x
  3. Step 3: Cross multiply
    9,801.85x = 14,702.75 × 4,254.48
  4. Step 4: Simplify right side
    9,801.85x = 62,552,482.31
  5. Step 5: Solve for x
    x = 62,552,482.31/9,801.85
  6. Step 6: Final answer
    x = 6,381.70

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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.