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Finding the Fourth Proportional to 9,902.34, 13,654.04 and 6,312.51

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Solution

The fourth proportional to 9,902.34, 13,654.04 and 6,312.51 is: 8,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.34 : 13,654.04 = 6,312.51 : x
  2. Step 2: Convert to fraction form
    9,902.34/13,654.04 = 6,312.51/x
  3. Step 3: Cross multiply
    9,902.34x = 13,654.04 × 6,312.51
  4. Step 4: Simplify right side
    9,902.34x = 86,191,232.48
  5. Step 5: Solve for x
    x = 86,191,232.48/9,902.34
  6. Step 6: Final answer
    x = 8,704.13

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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.