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Finding the Fourth Proportional to 9,854.67, 14,777.10 and 4,927.17

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Solution

The fourth proportional to 9,854.67, 14,777.10 and 4,927.17 is: 7,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.67 : 14,777.10 = 4,927.17 : x
  2. Step 2: Convert to fraction form
    9,854.67/14,777.10 = 4,927.17/x
  3. Step 3: Cross multiply
    9,854.67x = 14,777.10 × 4,927.17
  4. Step 4: Simplify right side
    9,854.67x = 72,809,283.81
  5. Step 5: Solve for x
    x = 72,809,283.81/9,854.67
  6. Step 6: Final answer
    x = 7,388.30

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1.5x scale

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.