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Finding the Fourth Proportional to 25,355.40, 38,033.10 and 9,762.10

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Solution

The fourth proportional to 25,355.40, 38,033.10 and 9,762.10 is: 14,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,355.40 : 38,033.10 = 9,762.10 : x
  2. Step 2: Convert to fraction form
    25,355.40/38,033.10 = 9,762.10/x
  3. Step 3: Cross multiply
    25,355.40x = 38,033.10 × 9,762.10
  4. Step 4: Simplify right side
    25,355.40x = 371,282,925.51
  5. Step 5: Solve for x
    x = 371,282,925.51/25,355.40
  6. Step 6: Final answer
    x = 14,643.15

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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.