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Finding the Fourth Proportional to 12,368.14, 17,069.07 and 7,588.06

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Solution

The fourth proportional to 12,368.14, 17,069.07 and 7,588.06 is: 10,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.14 : 17,069.07 = 7,588.06 : x
  2. Step 2: Convert to fraction form
    12,368.14/17,069.07 = 7,588.06/x
  3. Step 3: Cross multiply
    12,368.14x = 17,069.07 × 7,588.06
  4. Step 4: Simplify right side
    12,368.14x = 129,521,127.30
  5. Step 5: Solve for x
    x = 129,521,127.30/12,368.14
  6. Step 6: Final answer
    x = 10,472.16

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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.