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Finding the Fourth Proportional to 7,750.53, 10,697.43 and 5,098.20

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Solution

The fourth proportional to 7,750.53, 10,697.43 and 5,098.20 is: 7,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.53 : 10,697.43 = 5,098.20 : x
  2. Step 2: Convert to fraction form
    7,750.53/10,697.43 = 5,098.20/x
  3. Step 3: Cross multiply
    7,750.53x = 10,697.43 × 5,098.20
  4. Step 4: Simplify right side
    7,750.53x = 54,537,637.63
  5. Step 5: Solve for x
    x = 54,537,637.63/7,750.53
  6. Step 6: Final answer
    x = 7,036.63

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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.