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Finding the Fourth Proportional to 5,953.71, 8,216.93 and 4,535.40

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Solution

The fourth proportional to 5,953.71, 8,216.93 and 4,535.40 is: 6,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.71 : 8,216.93 = 4,535.40 : x
  2. Step 2: Convert to fraction form
    5,953.71/8,216.93 = 4,535.40/x
  3. Step 3: Cross multiply
    5,953.71x = 8,216.93 × 4,535.40
  4. Step 4: Simplify right side
    5,953.71x = 37,267,064.32
  5. Step 5: Solve for x
    x = 37,267,064.32/5,953.71
  6. Step 6: Final answer
    x = 6,259.47

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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.