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Finding the Fourth Proportional to 14,030.42, 19,362.09 and 7,657.06

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Solution

The fourth proportional to 14,030.42, 19,362.09 and 7,657.06 is: 10,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.42 : 19,362.09 = 7,657.06 : x
  2. Step 2: Convert to fraction form
    14,030.42/19,362.09 = 7,657.06/x
  3. Step 3: Cross multiply
    14,030.42x = 19,362.09 × 7,657.06
  4. Step 4: Simplify right side
    14,030.42x = 148,256,607.74
  5. Step 5: Solve for x
    x = 148,256,607.74/14,030.42
  6. Step 6: Final answer
    x = 10,566.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.