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Finding the Fourth Proportional to 10,461.60, 14,434.08 and 6,482.88

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Solution

The fourth proportional to 10,461.60, 14,434.08 and 6,482.88 is: 8,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.60 : 14,434.08 = 6,482.88 : x
  2. Step 2: Convert to fraction form
    10,461.60/14,434.08 = 6,482.88/x
  3. Step 3: Cross multiply
    10,461.60x = 14,434.08 × 6,482.88
  4. Step 4: Simplify right side
    10,461.60x = 93,574,408.55
  5. Step 5: Solve for x
    x = 93,574,408.55/10,461.60
  6. Step 6: Final answer
    x = 8,944.56

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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.