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Finding the Fourth Proportional to 9,598, 14,373.78 and 4,655.40

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Solution

The fourth proportional to 9,598, 14,373.78 and 4,655.40 is: 6,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598 : 14,373.78 = 4,655.40 : x
  2. Step 2: Convert to fraction form
    9,598/14,373.78 = 4,655.40/x
  3. Step 3: Cross multiply
    9,598x = 14,373.78 × 4,655.40
  4. Step 4: Simplify right side
    9,598x = 66,915,695.41
  5. Step 5: Solve for x
    x = 66,915,695.41/9,598
  6. Step 6: Final answer
    x = 6,971.84

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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.