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Finding the Fourth Proportional to 14,136.16, 19,507.80 and 7,848.52

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Solution

The fourth proportional to 14,136.16, 19,507.80 and 7,848.52 is: 10,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.16 : 19,507.80 = 7,848.52 : x
  2. Step 2: Convert to fraction form
    14,136.16/19,507.80 = 7,848.52/x
  3. Step 3: Cross multiply
    14,136.16x = 19,507.80 × 7,848.52
  4. Step 4: Simplify right side
    14,136.16x = 153,107,358.46
  5. Step 5: Solve for x
    x = 153,107,358.46/14,136.16
  6. Step 6: Final answer
    x = 10,830.90

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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.