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Finding the Fourth Proportional to 10,646.95, 14,692.39 and 5,931.13

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Solution

The fourth proportional to 10,646.95, 14,692.39 and 5,931.13 is: 8,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.95 : 14,692.39 = 5,931.13 : x
  2. Step 2: Convert to fraction form
    10,646.95/14,692.39 = 5,931.13/x
  3. Step 3: Cross multiply
    10,646.95x = 14,692.39 × 5,931.13
  4. Step 4: Simplify right side
    10,646.95x = 87,142,475.10
  5. Step 5: Solve for x
    x = 87,142,475.10/10,646.95
  6. Step 6: Final answer
    x = 8,184.74

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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.