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Finding the Fourth Proportional to 10,654.01, 14,703.78 and 6,407.24

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Solution

The fourth proportional to 10,654.01, 14,703.78 and 6,407.24 is: 8,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.01 : 14,703.78 = 6,407.24 : x
  2. Step 2: Convert to fraction form
    10,654.01/14,703.78 = 6,407.24/x
  3. Step 3: Cross multiply
    10,654.01x = 14,703.78 × 6,407.24
  4. Step 4: Simplify right side
    10,654.01x = 94,210,597.88
  5. Step 5: Solve for x
    x = 94,210,597.88/10,654.01
  6. Step 6: Final answer
    x = 8,842.74

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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.