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Finding the Fourth Proportional to 9,726.68, 13,400.70 and 9,070.04

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Solution

The fourth proportional to 9,726.68, 13,400.70 and 9,070.04 is: 12,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.68 : 13,400.70 = 9,070.04 : x
  2. Step 2: Convert to fraction form
    9,726.68/13,400.70 = 9,070.04/x
  3. Step 3: Cross multiply
    9,726.68x = 13,400.70 × 9,070.04
  4. Step 4: Simplify right side
    9,726.68x = 121,544,885.03
  5. Step 5: Solve for x
    x = 121,544,885.03/9,726.68
  6. Step 6: Final answer
    x = 12,496.03

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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.