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Finding the Fourth Proportional to 12,802.53, 19,206.41 and 7,258.35

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Solution

The fourth proportional to 12,802.53, 19,206.41 and 7,258.35 is: 10,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.53 : 19,206.41 = 7,258.35 : x
  2. Step 2: Convert to fraction form
    12,802.53/19,206.41 = 7,258.35/x
  3. Step 3: Cross multiply
    12,802.53x = 19,206.41 × 7,258.35
  4. Step 4: Simplify right side
    12,802.53x = 139,406,809.73
  5. Step 5: Solve for x
    x = 139,406,809.73/12,802.53
  6. Step 6: Final answer
    x = 10,889.00

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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.