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Finding the Fourth Proportional to 35,970.15, 53,948.68 and 9,668.74

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Solution

The fourth proportional to 35,970.15, 53,948.68 and 9,668.74 is: 14,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.15 : 53,948.68 = 9,668.74 : x
  2. Step 2: Convert to fraction form
    35,970.15/53,948.68 = 9,668.74/x
  3. Step 3: Cross multiply
    35,970.15x = 53,948.68 × 9,668.74
  4. Step 4: Simplify right side
    35,970.15x = 521,615,760.26
  5. Step 5: Solve for x
    x = 521,615,760.26/35,970.15
  6. Step 6: Final answer
    x = 14,501.35

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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.