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Finding the Fourth Proportional to 7,437.42, 10,264.32 and 4,293

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Solution

The fourth proportional to 7,437.42, 10,264.32 and 4,293 is: 5,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.42 : 10,264.32 = 4,293 : x
  2. Step 2: Convert to fraction form
    7,437.42/10,264.32 = 4,293/x
  3. Step 3: Cross multiply
    7,437.42x = 10,264.32 × 4,293
  4. Step 4: Simplify right side
    7,437.42x = 44,064,725.76
  5. Step 5: Solve for x
    x = 44,064,725.76/7,437.42
  6. Step 6: Final answer
    x = 5,924.73

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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.