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Finding the Fourth Proportional to 9,686.66, 13,368.03 and 5,707.94

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Solution

The fourth proportional to 9,686.66, 13,368.03 and 5,707.94 is: 7,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.66 : 13,368.03 = 5,707.94 : x
  2. Step 2: Convert to fraction form
    9,686.66/13,368.03 = 5,707.94/x
  3. Step 3: Cross multiply
    9,686.66x = 13,368.03 × 5,707.94
  4. Step 4: Simplify right side
    9,686.66x = 76,303,913.16
  5. Step 5: Solve for x
    x = 76,303,913.16/9,686.66
  6. Step 6: Final answer
    x = 7,877.22

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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.