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Finding the Fourth Proportional to 4,706.04, 6,491.36 and 3,585

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Solution

The fourth proportional to 4,706.04, 6,491.36 and 3,585 is: 4,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.04 : 6,491.36 = 3,585 : x
  2. Step 2: Convert to fraction form
    4,706.04/6,491.36 = 3,585/x
  3. Step 3: Cross multiply
    4,706.04x = 6,491.36 × 3,585
  4. Step 4: Simplify right side
    4,706.04x = 23,271,525.60
  5. Step 5: Solve for x
    x = 23,271,525.60/4,706.04
  6. Step 6: Final answer
    x = 4,945.03

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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.