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Finding the Fourth Proportional to 6,460.38, 8,904.96 and 4,864.68

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Solution

The fourth proportional to 6,460.38, 8,904.96 and 4,864.68 is: 6,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.38 : 8,904.96 = 4,864.68 : x
  2. Step 2: Convert to fraction form
    6,460.38/8,904.96 = 4,864.68/x
  3. Step 3: Cross multiply
    6,460.38x = 8,904.96 × 4,864.68
  4. Step 4: Simplify right side
    6,460.38x = 43,319,780.81
  5. Step 5: Solve for x
    x = 43,319,780.81/6,460.38
  6. Step 6: Final answer
    x = 6,705.45

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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.