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Finding the Fourth Proportional to 12,706.07, 17,533.04 and 7,040.68

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Solution

The fourth proportional to 12,706.07, 17,533.04 and 7,040.68 is: 9,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.07 : 17,533.04 = 7,040.68 : x
  2. Step 2: Convert to fraction form
    12,706.07/17,533.04 = 7,040.68/x
  3. Step 3: Cross multiply
    12,706.07x = 17,533.04 × 7,040.68
  4. Step 4: Simplify right side
    12,706.07x = 123,444,445.03
  5. Step 5: Solve for x
    x = 123,444,445.03/12,706.07
  6. Step 6: Final answer
    x = 9,715.40

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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.