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Finding the Fourth Proportional to 34,765.40, 52,148.09 and 9,802.18

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Solution

The fourth proportional to 34,765.40, 52,148.09 and 9,802.18 is: 14,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765.40 : 52,148.09 = 9,802.18 : x
  2. Step 2: Convert to fraction form
    34,765.40/52,148.09 = 9,802.18/x
  3. Step 3: Cross multiply
    34,765.40x = 52,148.09 × 9,802.18
  4. Step 4: Simplify right side
    34,765.40x = 511,164,964.84
  5. Step 5: Solve for x
    x = 511,164,964.84/34,765.40
  6. Step 6: Final answer
    x = 14,703.27

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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.