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Finding the Fourth Proportional to 10,017.54, 13,827.09 and 7,034.10

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Solution

The fourth proportional to 10,017.54, 13,827.09 and 7,034.10 is: 9,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.54 : 13,827.09 = 7,034.10 : x
  2. Step 2: Convert to fraction form
    10,017.54/13,827.09 = 7,034.10/x
  3. Step 3: Cross multiply
    10,017.54x = 13,827.09 × 7,034.10
  4. Step 4: Simplify right side
    10,017.54x = 97,261,133.77
  5. Step 5: Solve for x
    x = 97,261,133.77/10,017.54
  6. Step 6: Final answer
    x = 9,709.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.