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Finding the Fourth Proportional to 10,210.60, 15,315.90 and 9,724.60

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Solution

The fourth proportional to 10,210.60, 15,315.90 and 9,724.60 is: 14,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.60 : 15,315.90 = 9,724.60 : x
  2. Step 2: Convert to fraction form
    10,210.60/15,315.90 = 9,724.60/x
  3. Step 3: Cross multiply
    10,210.60x = 15,315.90 × 9,724.60
  4. Step 4: Simplify right side
    10,210.60x = 148,941,001.14
  5. Step 5: Solve for x
    x = 148,941,001.14/10,210.60
  6. Step 6: Final answer
    x = 14,586.90

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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.