Home / 10,458-14,432.14-5,742.38

Finding the Fourth Proportional to 10,458, 14,432.14 and 5,742.38

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Solution

The fourth proportional to 10,458, 14,432.14 and 5,742.38 is: 7,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458 : 14,432.14 = 5,742.38 : x
  2. Step 2: Convert to fraction form
    10,458/14,432.14 = 5,742.38/x
  3. Step 3: Cross multiply
    10,458x = 14,432.14 × 5,742.38
  4. Step 4: Simplify right side
    10,458x = 82,874,875.35
  5. Step 5: Solve for x
    x = 82,874,875.35/10,458
  6. Step 6: Final answer
    x = 7,924.54

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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.