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Finding the Fourth Proportional to 10,577.60, 15,866.40 and 9,605.60

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Solution

The fourth proportional to 10,577.60, 15,866.40 and 9,605.60 is: 14,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.60 : 15,866.40 = 9,605.60 : x
  2. Step 2: Convert to fraction form
    10,577.60/15,866.40 = 9,605.60/x
  3. Step 3: Cross multiply
    10,577.60x = 15,866.40 × 9,605.60
  4. Step 4: Simplify right side
    10,577.60x = 152,406,291.84
  5. Step 5: Solve for x
    x = 152,406,291.84/10,577.60
  6. Step 6: Final answer
    x = 14,408.40

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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.