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Finding the Fourth Proportional to 15,409.96, 23,071.98 and 9,849.58

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Solution

The fourth proportional to 15,409.96, 23,071.98 and 9,849.58 is: 14,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.96 : 23,071.98 = 9,849.58 : x
  2. Step 2: Convert to fraction form
    15,409.96/23,071.98 = 9,849.58/x
  3. Step 3: Cross multiply
    15,409.96x = 23,071.98 × 9,849.58
  4. Step 4: Simplify right side
    15,409.96x = 227,249,312.77
  5. Step 5: Solve for x
    x = 227,249,312.77/15,409.96
  6. Step 6: Final answer
    x = 14,746.91

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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.