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Finding the Fourth Proportional to 9,765.89, 14,643.20 and 8,598.24

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Solution

The fourth proportional to 9,765.89, 14,643.20 and 8,598.24 is: 12,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.89 : 14,643.20 = 8,598.24 : x
  2. Step 2: Convert to fraction form
    9,765.89/14,643.20 = 8,598.24/x
  3. Step 3: Cross multiply
    9,765.89x = 14,643.20 × 8,598.24
  4. Step 4: Simplify right side
    9,765.89x = 125,905,769.46
  5. Step 5: Solve for x
    x = 125,905,769.46/9,765.89
  6. Step 6: Final answer
    x = 12,892.40

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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.