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Finding the Fourth Proportional to 9,765.87, 14,643.16 and 8,598.21

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Solution

The fourth proportional to 9,765.87, 14,643.16 and 8,598.21 is: 12,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.87 : 14,643.16 = 8,598.21 : x
  2. Step 2: Convert to fraction form
    9,765.87/14,643.16 = 8,598.21/x
  3. Step 3: Cross multiply
    9,765.87x = 14,643.16 × 8,598.21
  4. Step 4: Simplify right side
    9,765.87x = 125,904,970.70
  5. Step 5: Solve for x
    x = 125,904,970.70/9,765.87
  6. Step 6: Final answer
    x = 12,892.35

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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.