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Finding the Fourth Proportional to 9,702.40, 14,563.78 and 8,598.88

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Solution

The fourth proportional to 9,702.40, 14,563.78 and 8,598.88 is: 12,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.40 : 14,563.78 = 8,598.88 : x
  2. Step 2: Convert to fraction form
    9,702.40/14,563.78 = 8,598.88/x
  3. Step 3: Cross multiply
    9,702.40x = 14,563.78 × 8,598.88
  4. Step 4: Simplify right side
    9,702.40x = 125,232,196.57
  5. Step 5: Solve for x
    x = 125,232,196.57/9,702.40
  6. Step 6: Final answer
    x = 12,907.34

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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.