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Finding the Fourth Proportional to 6,503.34, 8,973.95 and 3,670.46

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Solution

The fourth proportional to 6,503.34, 8,973.95 and 3,670.46 is: 5,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.34 : 8,973.95 = 3,670.46 : x
  2. Step 2: Convert to fraction form
    6,503.34/8,973.95 = 3,670.46/x
  3. Step 3: Cross multiply
    6,503.34x = 8,973.95 × 3,670.46
  4. Step 4: Simplify right side
    6,503.34x = 32,938,461.29
  5. Step 5: Solve for x
    x = 32,938,461.29/6,503.34
  6. Step 6: Final answer
    x = 5,064.85

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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.