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Finding the Fourth Proportional to 10,577.80, 15,834.30 and 9,411.40

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Solution

The fourth proportional to 10,577.80, 15,834.30 and 9,411.40 is: 14,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.80 : 15,834.30 = 9,411.40 : x
  2. Step 2: Convert to fraction form
    10,577.80/15,834.30 = 9,411.40/x
  3. Step 3: Cross multiply
    10,577.80x = 15,834.30 × 9,411.40
  4. Step 4: Simplify right side
    10,577.80x = 149,022,931.02
  5. Step 5: Solve for x
    x = 149,022,931.02/10,577.80
  6. Step 6: Final answer
    x = 14,088.27

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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.