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Finding the Fourth Proportional to 9,693.84, 14,549.40 and 6,618

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Solution

The fourth proportional to 9,693.84, 14,549.40 and 6,618 is: 9,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.84 : 14,549.40 = 6,618 : x
  2. Step 2: Convert to fraction form
    9,693.84/14,549.40 = 6,618/x
  3. Step 3: Cross multiply
    9,693.84x = 14,549.40 × 6,618
  4. Step 4: Simplify right side
    9,693.84x = 96,287,929.20
  5. Step 5: Solve for x
    x = 96,287,929.20/9,693.84
  6. Step 6: Final answer
    x = 9,932.90

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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.