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Finding the Fourth Proportional to 9,864.60, 14,692.23 and 9,816.90

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Solution

The fourth proportional to 9,864.60, 14,692.23 and 9,816.90 is: 14,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.60 : 14,692.23 = 9,816.90 : x
  2. Step 2: Convert to fraction form
    9,864.60/14,692.23 = 9,816.90/x
  3. Step 3: Cross multiply
    9,864.60x = 14,692.23 × 9,816.90
  4. Step 4: Simplify right side
    9,864.60x = 144,232,152.69
  5. Step 5: Solve for x
    x = 144,232,152.69/9,864.60
  6. Step 6: Final answer
    x = 14,621.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.