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Finding the Fourth Proportional to 9,852.67, 14,774.10 and 4,925.17

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Solution

The fourth proportional to 9,852.67, 14,774.10 and 4,925.17 is: 7,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.67 : 14,774.10 = 4,925.17 : x
  2. Step 2: Convert to fraction form
    9,852.67/14,774.10 = 4,925.17/x
  3. Step 3: Cross multiply
    9,852.67x = 14,774.10 × 4,925.17
  4. Step 4: Simplify right side
    9,852.67x = 72,764,954.10
  5. Step 5: Solve for x
    x = 72,764,954.10/9,852.67
  6. Step 6: Final answer
    x = 7,385.30

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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.