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Finding the Fourth Proportional to 9,783.96, 14,678.10 and 4,587

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Solution

The fourth proportional to 9,783.96, 14,678.10 and 4,587 is: 6,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.96 : 14,678.10 = 4,587 : x
  2. Step 2: Convert to fraction form
    9,783.96/14,678.10 = 4,587/x
  3. Step 3: Cross multiply
    9,783.96x = 14,678.10 × 4,587
  4. Step 4: Simplify right side
    9,783.96x = 67,328,444.70
  5. Step 5: Solve for x
    x = 67,328,444.70/9,783.96
  6. Step 6: Final answer
    x = 6,881.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.