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Finding the Fourth Proportional to 4,695.94, 7,045.08 and 1,409.10

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Solution

The fourth proportional to 4,695.94, 7,045.08 and 1,409.10 is: 2,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.94 : 7,045.08 = 1,409.10 : x
  2. Step 2: Convert to fraction form
    4,695.94/7,045.08 = 1,409.10/x
  3. Step 3: Cross multiply
    4,695.94x = 7,045.08 × 1,409.10
  4. Step 4: Simplify right side
    4,695.94x = 9,927,187.00
  5. Step 5: Solve for x
    x = 9,927,187.00/4,695.94
  6. Step 6: Final answer
    x = 2,113.99

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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.