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Finding the Fourth Proportional to 34,654.34, 51,973.56 and 9,696.16

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Solution

The fourth proportional to 34,654.34, 51,973.56 and 9,696.16 is: 14,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.34 : 51,973.56 = 9,696.16 : x
  2. Step 2: Convert to fraction form
    34,654.34/51,973.56 = 9,696.16/x
  3. Step 3: Cross multiply
    34,654.34x = 51,973.56 × 9,696.16
  4. Step 4: Simplify right side
    34,654.34x = 503,943,953.53
  5. Step 5: Solve for x
    x = 503,943,953.53/34,654.34
  6. Step 6: Final answer
    x = 14,542.02

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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.