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Finding the Fourth Proportional to 9,964, 13,750.32 and 5,988.52

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Solution

The fourth proportional to 9,964, 13,750.32 and 5,988.52 is: 8,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 13,750.32 = 5,988.52 : x
  2. Step 2: Convert to fraction form
    9,964/13,750.32 = 5,988.52/x
  3. Step 3: Cross multiply
    9,964x = 13,750.32 × 5,988.52
  4. Step 4: Simplify right side
    9,964x = 82,344,066.33
  5. Step 5: Solve for x
    x = 82,344,066.33/9,964
  6. Step 6: Final answer
    x = 8,264.16

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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.