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Finding the Fourth Proportional to 5,298.48, 7,265.43 and 5,113.08

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Solution

The fourth proportional to 5,298.48, 7,265.43 and 5,113.08 is: 7,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.48 : 7,265.43 = 5,113.08 : x
  2. Step 2: Convert to fraction form
    5,298.48/7,265.43 = 5,113.08/x
  3. Step 3: Cross multiply
    5,298.48x = 7,265.43 × 5,113.08
  4. Step 4: Simplify right side
    5,298.48x = 37,148,724.82
  5. Step 5: Solve for x
    x = 37,148,724.82/5,298.48
  6. Step 6: Final answer
    x = 7,011.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.