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Finding the Fourth Proportional to 10,783.94, 14,886.99 and 6,306.26

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Solution

The fourth proportional to 10,783.94, 14,886.99 and 6,306.26 is: 8,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.94 : 14,886.99 = 6,306.26 : x
  2. Step 2: Convert to fraction form
    10,783.94/14,886.99 = 6,306.26/x
  3. Step 3: Cross multiply
    10,783.94x = 14,886.99 × 6,306.26
  4. Step 4: Simplify right side
    10,783.94x = 93,881,155.12
  5. Step 5: Solve for x
    x = 93,881,155.12/10,783.94
  6. Step 6: Final answer
    x = 8,705.65

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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.