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Finding the Fourth Proportional to 9,637.71, 13,303.71 and 6,281.34

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Solution

The fourth proportional to 9,637.71, 13,303.71 and 6,281.34 is: 8,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.71 : 13,303.71 = 6,281.34 : x
  2. Step 2: Convert to fraction form
    9,637.71/13,303.71 = 6,281.34/x
  3. Step 3: Cross multiply
    9,637.71x = 13,303.71 × 6,281.34
  4. Step 4: Simplify right side
    9,637.71x = 83,565,125.77
  5. Step 5: Solve for x
    x = 83,565,125.77/9,637.71
  6. Step 6: Final answer
    x = 8,670.64

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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.