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Finding the Fourth Proportional to 9,700.84, 13,386.86 and 5,722.20

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Solution

The fourth proportional to 9,700.84, 13,386.86 and 5,722.20 is: 7,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.84 : 13,386.86 = 5,722.20 : x
  2. Step 2: Convert to fraction form
    9,700.84/13,386.86 = 5,722.20/x
  3. Step 3: Cross multiply
    9,700.84x = 13,386.86 × 5,722.20
  4. Step 4: Simplify right side
    9,700.84x = 76,602,290.29
  5. Step 5: Solve for x
    x = 76,602,290.29/9,700.84
  6. Step 6: Final answer
    x = 7,896.46

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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.