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Finding the Fourth Proportional to 9,574.16, 14,362 and 2,554.20

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Solution

The fourth proportional to 9,574.16, 14,362 and 2,554.20 is: 3,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.16 : 14,362 = 2,554.20 : x
  2. Step 2: Convert to fraction form
    9,574.16/14,362 = 2,554.20/x
  3. Step 3: Cross multiply
    9,574.16x = 14,362 × 2,554.20
  4. Step 4: Simplify right side
    9,574.16x = 36,683,420.40
  5. Step 5: Solve for x
    x = 36,683,420.40/9,574.16
  6. Step 6: Final answer
    x = 3,831.50

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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.