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Finding the Fourth Proportional to 6,953.01, 10,429.43 and 1,688.06

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Solution

The fourth proportional to 6,953.01, 10,429.43 and 1,688.06 is: 2,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.01 : 10,429.43 = 1,688.06 : x
  2. Step 2: Convert to fraction form
    6,953.01/10,429.43 = 1,688.06/x
  3. Step 3: Cross multiply
    6,953.01x = 10,429.43 × 1,688.06
  4. Step 4: Simplify right side
    6,953.01x = 17,605,521.24
  5. Step 5: Solve for x
    x = 17,605,521.24/6,953.01
  6. Step 6: Final answer
    x = 2,532.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.