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Finding the Fourth Proportional to 9,602.66, 13,263.58 and 7,391.36

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Solution

The fourth proportional to 9,602.66, 13,263.58 and 7,391.36 is: 10,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.66 : 13,263.58 = 7,391.36 : x
  2. Step 2: Convert to fraction form
    9,602.66/13,263.58 = 7,391.36/x
  3. Step 3: Cross multiply
    9,602.66x = 13,263.58 × 7,391.36
  4. Step 4: Simplify right side
    9,602.66x = 98,035,937.07
  5. Step 5: Solve for x
    x = 98,035,937.07/9,602.66
  6. Step 6: Final answer
    x = 10,209.25

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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.